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What is the last angle of a right triangle with a 90 degree and 43 degree angle?
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∙ 12y ago
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∙ 12y ago
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What does a degree angle look like?
A degree is the measurement that measure an angle, such as Newtons measure gravity. It is shown with a small 'o' at the right-hand corner at the end of the last digit number.
What type of angle is 82 degree?
An obtuse angle.* * * * *The last time I checked, 82 was still considered to be less than 90. And in that case, it is an acute angle, not obtuse.
How is sin 90 equal to 1?
Buckle up, 'cause we can't draw diagrams here and we have to explain everything. Let's jump. Draw a graph with an x-axis and a y-axis like usual. Don't use graph paper or a ruler unless you have to. Just eyeball the thing. We're going to draw a right triangle on the graph and here's how we'll do it. Start at the origin, (0, 0) and draw a line along the x-axis about "6 or 7 units" long. Now draw a line from the end of the first one straight up (at a right angle to the x-axis) and make it about "2 units" long. Lastly, draw the "slanted" line from the origin up to where the vertical line ended. That last line was the hypotenuse of your nice right triangle. Got a good picture? Super. Let's jump to some review. The trigonometry (trig) function called the "sine" (sin) is the relationship in any right triangle between the length of the opposite side (to an given angle in the triangle) and the length of the hypotenuse of that triangle. It's actually the length of the opposite side of the triangle divided by the length of the hypotenuse of the triangle. This number is a "pure" number without units because the units (inches, feet, miles - whatever) cancel out when the division is made. Now that we've reviewed the sine function, let's take it to our triangle. Look at the angle made by the first line you drew and the last one you drew (which was the hypotenuse). It's the angle with the origin of the graph (0, 0) as the vertex. It's gonna be 25 to 35 degrees or so, ballpark. We don't need to be exact. Now, the sine of that angle is the length of the opposite side divided by the length of the hypotenuse. It's some number between 0 and 1. The hypotenuse is obviously larger, and we'll end up with a fraction or, if you prefer, a decimal number. We don't need to know what it is because we are going to be looking at a "trend" or "shift" as we change our graph. We have some number as the sine, and we're good. Now let's modify our graph and draw a new triangle. Follow closely when we jump. We are going to "keep" the hypotenuse we drew. But we are going to "rotate it up" to make a new triangle. Note that we won't change its length. We're going to "open up" the angle between the x-axis and the hypotenuse. Let's do that by detatching the hypotenuse from the short vertical to the x-axis (which is that little second line we drew). Swing the hypotenuse up (that's counterclockwise from its first position) and put it about "half way" between where it was and where the y-axis is. Got it located? Now "drop a perpendicular" from the end of the hypotenuse to the x-axis, and make the line perpendicular to the x-axis. This forms a new right triangle. And this new triangle has a longer "second side" that is vertical to the x-axis. Let's look at our new triangle. The "new" angle formed by the x-axis and the new location of the hypotenuse is larger than it was. And the sine for that angle has changed. The sine is (again) the length of the opposite side over the length of the hypotenuse, and notice that the "new" opposite side is longer than the old one. (We can call that side, the one perpenducular to the x-axis, the "second side" here.) That means the "new" sine will be a larger fraction or a larger decimal (if you work it that way) than before. We don't know the exact number, but we only need to look at it in comparison to what it was. And it's bigger. So let's rotate the hypotenuse more. Start moving it in a slow but continuous motion in the counterclockwise direction. It's heading for the y-axis as you rotate it. Now focus. The new triangle formed as we rotate the hypotenuse (again, without changing its length) will have a longer and longer "perpendicular" to the x-axis as we move the hypotenuse. Pretend that the second side, the one we keep making longer as we rotate the hypotenuse up, is a rubber band stretching longer and longer as we rotate the hypotenuse. It still has to make a right angle where it is attached to the x-axis, so it must "slide along" that axis toward the origin to keep the angle at 90 degrees. Make sense? The triangle is "getting taller" as we rotate the hypotenuse. And the base is getting shorter and shorter. Through all this, the sine of the angle we are looking at is getting bigger and bigger. See how it works? One more jump. As the hypotenuse is rotated counter clockwise and approaches the y-axis, the length of that "second side" will continue to grow and will actually approach the length of the hypotenuse itself. (The triangle's base gets tinier and tinier through all this.) Our angle is getting bigger and bigger, too, and it is approaching 90 degrees. As the length of the second side approaches the length of the hypotenuse, the sine of the angle, that is, the length of the second side divided by the length of the hypotenuse, actually approaches one. That's because the second side is getting almost as long as the hypotenuse. Closer and closer to vertical we move that hypotenuse. At vertical, that is, when the hypotenuse is rotated to vertical, the triangle "disappears" from view, but imagine what is happeing as we approach this "vanishing point" where the triangle ceases to exist. At 90 degrees, the second side is the exact same length as the hypotenuse. That means the angle formed at the vertex becomes 90 degrees. And the base will be so short as to disappear as well. At the 90 degree point where the hypotenuse has been rotated up to lie along the y-axis, the length of the opposite will equal to the length of the hypotenuse. And the sine of the angle (which is 90 degrees) will be the length of the second side exactly 1 at this point. The sine of an angle varies as the measure of the angle, and as the angle increases in measure from 0 to 90 degrees, the sine of the angle varies from 0 to 1 as we discovered.
What are angles that measure less than 90 degrees?
A right angle is an angle whose measure is exactly 90 degrees. Continuing around the circle, next is the obtuse angle. An obtuse angle is an angle whose measure is in between 90 and 180 degrees. The last major kind of angle is the straight angle. A straight angle is an angle that measures exactly 180 degrees. Thus the name - the two rays form a straight line. A negative angle is also possible. This just means that you go clockwise instead of counterclockwise.SOURCE: http://library.thinkquest.org/2647/geometry/angle/measure.htmthat website also has lots of more information on angles!
Can a triangle with side lengths of 20 21 28 be a right triangle?
We could be able to tell this through the use of the Pythagorean theorem. Unfortunately, we may only be able to attempt this, If we assume that your hypotenuse is the last measurement. A and B can be either leg of the triangle, however, "C" must always be the hypotenuse.So we'll test out using each value as the hypotenuse.Pythagorean theorem: A2 + B2 = C2So using this we'll begin by a = 20, b = 21, c = 28:202 + 212 = 282400 + 441 = 784841 = 784841 does not equal 784Therefore, using 28 as the hypotenuse yields a triangle that is not a right triangle.Secondly, we'll use a = 20, b = 28, c = 21202 + 282 = 212400 + 784 = 4411184 = 4411184 does not equal 441Therefore, using 21 as the hypotenuse yields a triangle that is not a right triangle.Lastly, we'll use a = 28, b = 21, c = 20282 + 212 = 202784 + 441 = 4001225 = 4001225 does not equal 400Therefore, the measurements 20, 21, and 28, no matter which is used as the hypotenuse can yield a right triangle.
How many right angles does a right triangle contain?
A Right Angle Triangle contains one right angle.A right angle has a magnitude of 90°, or in radians (pi/2). A triangle has three angles forming the closed shape, the addition of which gives an angle of 180°, or pi radians. With two right angles, the addition of these alone gives 180° (pi radians), and therefore the last angle has a null value. This is impossible and therefore leads to the conclusion that no triangle can have more then one right angle.As the definition of a Right Angle Triangle requires an angle of 90°, and no triangle can have two of these angles a Right Angle Triangle must have exactly one right angle.
What does a right angle scalene triangle look like?
If this makes sense.... something like this |\ | \ |___\ A three sided polygon that has one right (90 degree) angle and all three sides have different lengths
What describes a triangle with two 45 dergree angles?
Right Triangle A rightangled triangle, since the last angle has to be 90 degrees
If and isosceles triangle had a pair of 65 degree angles what is the last angle?
The third angle will be 50 degrees. Remember that, in any triangle, the three inside angles always add up to equal 180.
How do you find a missing angle of a right triangle given two sides?
180-x-y (x and y are the sides you already know) there are 180 degrees in a triangle. The remaining # is the last angle
What does a degree angle look like?
A degree is the measurement that measure an angle, such as Newtons measure gravity. It is shown with a small 'o' at the right-hand corner at the end of the last digit number.
What are four ways you can prove two right triangles are congruent?
1. The side angle side theorem, when used for right triangles is often called the leg leg theorem. it says if two legs of a right triangle are congruent to two legs of another right triangle, then the triangles are congruent. Now if you want to think of it as SAS, just remember both angles are right angles so you need only look at the legs.2. The next is the The Leg-Acute Angle Theorem which states if a leg and an acute angle of one right triangle are congruent to the corresponding parts of another right triangle, the two right triangles are congruent. This is the same as angle side angle for a general triangle. Just use the right angle as one of the angles, the leg and then the acute angle.3. The Hypotenuse-Acute Angle Theorem is the third way to prove 2 right triangles are congruent. This one is equivalent to AAS or angle angle side. This theorem says if the hypotenuse and an acute angle of a right triangle are congruent to the hypotenuse and an acute angle of another right triangle, the two triangles are congruent. This is the same as AAS again since you can use the right angle as the second angle in AAS.4. Last, but not least is Hypotenuse-Leg Postulate. Since it is NOT based on any other rules, this is a postulate and not a theorem. HL says if the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of another right triangle, then the triangles are congruent.
What is the angle measure for a triangle?
The angle measure of a triangle is dependent on the type of triangle (scalene, right, isosceles, or equilateral) and also the measures of the other two angles.In a scalene, none of the angles can be predicted without a protractor because none of the angles are equal.In a right triangle only one angle can be undoubtedly determined, the 90° angle (right angle). Knowing this angle's measure, this only limits the possible angle measures of the other two angles. (They must each be less than 90°, but together sum up to 90°)If you know one of the base angles of an isosceles triangle, by the Isosceles Triangle Base Angles Theorem, the other base angle will be congruent. To find the last angle, add the base angles together and then subtract that number from 180.The only triangle that has angle measures that can be determined just by its name is an equilateral, all angle measures equal 60°.
What is the measure of the third angle of a triangle of the two interior angtles 45 degree and 38 degree?
All up a triangle has 180 degrees on the interior so if we add 45 and 38 together we get 83. 180 minus 83 equals 97. So the degrees of the last angle is 97 degrees. You learn this is seventh grade math.
What do right angle triangles look like?
They have one right angle (90 degrees). The other two angles must add up to 90 (because all triangles have 180 degrees, so while having one right angle, that leaves 90 more degrees for the other two angles to share), which means one angle is 90 degrees, one could be 1 degree, and the last angle could be 89 degrees, or those last two angles could both be 45, or one is 60 and the other is 30, etc. The hypotenuse is the side opposite the right angle. Here is a simple example of a right triangle: See related Links
What is the area of the triangle if one side is 17 ft another is 8 ft and the last side is 15 ft?
It is a right angle triangle so area = 0.5*15*8 = 60 square feet
If two of a triangle's angles measure 42 degrees and 48 degrees how would you classify that triangle?
It's important to remember that a triangle's angles will always total 180 degrees. 180 - 42 - 48 = 90. The last angle is 90 degrees, so this is a right triangle.
