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How would you construct an isosceles triangle if only given the vertex angle and the radius of the circumscribed circle?
You have an isosceles triangle, and a circle that is drawn around it. You know the vertex angle of the isosceles triangle, and you know the radius of the circle. If you use a compass and draw the circle according to its radius, you can begin your construction. First, draw a bisecting cord vertically down the middle. This bisects the circle, and it will also bisect your isosceles triangle. At the top of this cord will be the vertex of your isosceles triangle. Now is the time to work with the angle of the vertex. Take the given angle and divide it in two. Then take that resulting angle and, using your protractor, mark the angle from the point at the top of the cord you drew. Then draw in a line segment from the "vertex point" and extend it until it intersects the circle. This new cord represents one side of the isosceles triangle you wished to construct. Repeat the process on the other side of the vertical line you bisected the circle with. Lastly, draw in a line segment between the points where the two sides of your triangle intersect the circle, and that will be the base of your isosceles triangle.
What is the angle that a right angle triangle has?
The angle directly opposite the hypotenuse is always 90o in a right angle triangle and if you know the other sides you can work out the other angles using one of the three trigonometry equations. Sin, Tan or Cos then use the inverse and you will get the degree.
How do you work out an angle size in a triangle?
Measure it with a protractor.
How do you state if the three numbers can be measure of the sides of a triangle?
state if the three numbers can be measures of the sides of a triangle. show your work 1- 15,12,9
What is the Square root of an isosceles triangle?
It is actually impossible to work out the square root of a shape but you can work out the square roots of the interior and exterior angles, the area and the perimiter
How do you work out the hypoteneuse side of an isosceles triangle if the triangle is not right-angled and two of the sides and the angle between them are known?
Use the cosine rule: a2 = b2+c2 - 2bc*cos A An isosceles triangle has two equal sides.
How would you construct an isosceles triangle if only given the vertex angle and the radius of the circumscribed circle?
You have an isosceles triangle, and a circle that is drawn around it. You know the vertex angle of the isosceles triangle, and you know the radius of the circle. If you use a compass and draw the circle according to its radius, you can begin your construction. First, draw a bisecting cord vertically down the middle. This bisects the circle, and it will also bisect your isosceles triangle. At the top of this cord will be the vertex of your isosceles triangle. Now is the time to work with the angle of the vertex. Take the given angle and divide it in two. Then take that resulting angle and, using your protractor, mark the angle from the point at the top of the cord you drew. Then draw in a line segment from the "vertex point" and extend it until it intersects the circle. This new cord represents one side of the isosceles triangle you wished to construct. Repeat the process on the other side of the vertical line you bisected the circle with. Lastly, draw in a line segment between the points where the two sides of your triangle intersect the circle, and that will be the base of your isosceles triangle.
How do you work out the angles of an isosceles triangle when you only know the lengths of all the sides?
You use the cosine rule: cos(C) = (a2 + b2 - c2)/(2ab) So angle C can be calculated.
You know base and angles how do I find height of isosceles triangle?
Use the sine rule to work out one of the sides. (a/sina = b/sinb = c/sinc) Then as it is an isosceles triangle the perpendicular dropped from the apex will (a) bisect the base and (b) form a right angle with the base. Now you know one side and the hypotenuse of a right-angled triangle and you use Pythagoras (a2 + b2 = c2) to solve the 'other' side of that, which is the height of the isosceles triangle.
Does the Pythagorean theorem work on isosceles triangles?
it depens if the isosceles triangle is a right triangle or not
Does sohcahtoa work on a 90 degree angle I have a right triangle with a hypotenuse of 1m no other sides or angles were provided?
No. Given a triangle with only the right angle and the hypotenuse, you cannot calculate the other sides nor the other angles.
How do you solve a Pythagoras problem when the two shorter sides are both unknown?
You cannot - unless there is some other information. For example, that the triangle is isosceles, or that one of the shorter sides is related to the other is some way. Or there is another triangle (or other shape) from which you can work out one of the sides.
Area of isosceles tiangle?
The formula is: Area = base * height. With an isosceles triangle, two of the angles are congruent and their opposite sides are congruent. There is one remaining angle (that will be referred to as the top angle) and its opposite side (the base). You will probably have to drop a perpendicular line from the top angle to the base. This will bisect the base into two equal parts. Also, you now have two congruent right triangles. It depends on what you know with this triangle in order to find its height and/or base. However, use the Pythagorean Theorem and I'm sure you can work it out.
How would you construct an isosceles triangle if only given the altitude to the base and a base angle?
Start with the altitude (height) and draw that. Draw the actual length of the altitude on your paper, or draw it to scale. Naturally you'll draw it down the middle of your paper parallel to the sides (perpendicular to the bottom) of your paper. Now that you have your altitude, draw a line perpendicular to it across the bottom. Your base will be on that, but we don't know how big it is yet. Let's work with your base angle, but indirectly. You have a vertical line perpendicular to another line. There are two right angles formed, one on each side of the vertical line. If you could draw in one side of your isosceles triangle, you'd have a right triangle that represents half your isosceles triangle. The altitude divides your isosceles triangle exactly in half down the middle. This right triangle will, like all triangles, have interior angles that add up (sum) to 180 degrees. Now we use the base angle. You have the 90 degree angle, and the base angle. That base angle and the "top" angle will add up to 90 degrees, and that's so that these two angles and the 90 angle where the altitude meets the base will add up to 180 degrees. That means the base angle and the top angle will have to add up to 90 degrees. Subtract your base angle from 90 degrees and you'll have your "top" angle. Get you protractor, place it at the top of your altitude, and mark the "top" angle. Now draw a line from the top of the altitude on this angle you set, and continue it to the base. That's one side of your triangle. Repeat this on the other side and your isosceles triangle will appear.
Is there any such thing as an obtuse right triangle?
No. A obtuse angle cannot be a right triangle- it is so wrong that it can't even be a left angle (While true, this part is of course, a joke...).There are two ways we name our triangles: using angles and how long the angles' sides are. The angles: there are three. The measurements: there are also three.The measurement triangles (aka. how long the angles and sides are) come in three types: the equilateral, the isosceles, and the scalene.The equilateral triangle has angles the measure sixty degrees and all sides measure the same length.The isosceles triangle has two sides that measure the same length, but one side has a different measurement. Same thing with the angles.The scalene triangle has all sides a different length with all sides a different measurement for the angles.The angled triangles work on three angles: the acute, the right, and the obtuse.The acute triangle's "A" point to its "B" point's angle is an angle that is acute.The right triangle's "A" to its "B" is a right angle...And the obtuse triangle's "A" to its "B" is an obtuse angle.Right angles and obtuse angles are way different...Right angles measure ninty degrees while obtuse angles measure more than ninty degrees but less than one hundred eighty degrees.Therefore, there is no such thing as an obtuse righttriangle.
What is the angle that a right angle triangle has?
The angle directly opposite the hypotenuse is always 90o in a right angle triangle and if you know the other sides you can work out the other angles using one of the three trigonometry equations. Sin, Tan or Cos then use the inverse and you will get the degree.
Why doesn't angle angle angle work?
Because if one triangle is an enlargement of another (with scale factor not 1) their angles will be the same but the sides will be different. The two triangles will be similar but not congruent.
