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What could the ratio of the length of the longer leg of a 30 60 90 triangle to the length of its hypotenuse?
Wiki User
∙ 13y ago
1/2 sqrt(3) = 0.866 (rounded)
Wiki User
∙ 13y ago
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Triangle has two sides of length 4 and 15 What value could the length of the third side be?
The third side must be longer than 11 and shorter than 19.
How do you find angles of a triangle?
I cannot answer this without knowing any more information. Finding the proper dimensions of a triangle without knowing the kind of triangle cannot really be done. Because it may be an isosceles triangle (every angle is equal) or it could be a 30-60-90 triangle etc.
What could be the length of the third side of a triangle that has two sides of lengths 7 and 12?
To create a triangle, the sum of the two shorter sides must be greater than the third side.If 12 is the longer side then the missing side must be greater than 12 - 7 = 5If the missing side is the longer side then the missing side must be less than 12 + 7 = 19Thus any length that is greater than 5 and less than 19.
HOW DO YOu classify triangles based on the side lengths?
Triangles are not classified by the length of their sides, but by their shapes. A right triangle, for example, is a triangle which includes one 90o angle. This is true regardless of the size of the triangle; it could have sides a thousand miles long or a thousandth of an inch long and still be a right triangle, as long as it has that 90o angle. An equilateral triangle has three sides which are all of the same length. This is true, again, regardless of the size of the triangle. The three sides could all be a million miles long, or they could be microscopic, but if they are all the same length, then the triangle is equilateral.It would be better to ask about classifying triangles by the relative lengths of their sides.If all the sides are different lengths, we class it as a Scalene Triangle. (Note that all three angles also are different.)If exactly two sides have the same length we call it an Isosceles triangle (Note that two of the angles also are the same size. And try to get the spelling right!!!)If all three sides are the same length, we call it an Equilateral triangle. (If you like you could say that it is a special case of an isosceles triangle). All three angle are the same and they always are sixty degrees each.
What is the approximate length of the base of an isosceles triangle if the congruent sides are 3 feet and the vertex angle is 35 degress?
The median of an isosceles triangle from its apex is also the perpendicular bisector of the base. This line divides the triangle into two congruent right angled triangles whose hypotenuse is 3 feet and whose apical angle is 35/2 = 17.5 degrees. If the base of the original triangle was 2b cm then sin(17.5) = b/3 so that b = 3*sin(17.5) = 0.9cm so that the base was 2b = 1.8 feet Alternatively, you could use the sine rule on the triangle:
What could be the ratio of the length of the longer leg of a 30-60-90 triangle to the length of its hypotenuse?
2 Square Root 3 And 4
What could be the ratio of the length of of the longer leg of a 30 60 90 triangle to the length of its hypotenuse?
In a 30° 60° 90° triangle, the ratio (long leg)/hypotenuse = sqrt(3)/2 ~ 0.866The ratio (short leg)/hypotenuse = 1/2 = 0.5
What could be a ratio of the length of the longer-leg of a 30-60-90 triangle to the length of its hypotenuse?
In such a triangle, the sides will always be in the ratio, 1, 2 (hypotenuse) and sqrt(3) So the ratio you want is sqrt(3)/2
Which of the following could be the ratio of the length of a 30-60-90 to the length of its hypotenuse?
There's no such thing as the "length of a 30-60-90". The ratios of the lengths of the legs of such a triangle to the length of the hypotenuse are 1/2 and 1/2(sqrt(3).
What could be the ratio of the length of the longer leg of a 30-60-90 triangle to the length?
Assuming that 30-60-90 refers to the angles (in degrees), the ratio of the longer leg to the hypotenuse would be 1:cosine(30) = 1:sqrt(3)/2 or 2:sqrt(3)
Could 1 2 and the square root of 3 be the sides of a right triangle?
Or course. 1 & sq. rt. of 3 being the sides, 2 being the hypotenuse.
Could 3 6 and 8 represent the length of the sides of a right triangle?
No. Due to Pythagoras' Theorem, the square of the hypotenuse (the longest side of the right triangle) has to be equal to the sum of the squares of the other two sides. If this is too wordy, call the sides a, b and c, where c is the hypotenuse. Then a2+b2=c2 for any right triangle. Hence, with 3, 6 and 8 we have 9+36=64 (or 36+9=64 depending on how you choose a and b) which is clearly wrong, so a triangle with sides of length 3, 6 and 8 is NOT a right triangle.
How do you find the other sides when the hypotenuse of a right triangle is given?
If all you're given is the hypotenuse, then you can't figure out any more information. If you had the length of one more side you could use Pythagoras's Theorem a2+ b2= c2to find the other side, or if you were given an angle other than the right angle, you could use SOH CAH TOA to calculate the length of another side. With just the hypotenuse, nothing more can be found.
What could be the length of the third side of a triangle that has two sides of lengths 5 and 12?
Any value between 7 and 17------------------------------------To create a triangle, the sum of the two shorter sides must be greater than the third side.If the side of length 12 is the longer side then the missing side must be greater than 12 - 5 = 7If the missing side is the longer side then the missing side must be less than 5 + 12 = 17Thus any length that is greater than 7 and less than 17.-----------------------------------------------------------------------A Pythagorean triangle would have a hypotenuse of 13
What is the length of the third side of a triangle when the first side is 5 in long and the second side is 3 in long?
Not enough information. If it's a right triangle, and the missing side is a leg, it could be 4 in. If the missing side is the hypotenuse, it would be the square root of 34.
Can you find both sides of a triangle if only the hypotenuse is given?
No. The hypotenuse is the side of a right triangle that is not adjacent to the right angle. The Pythagorean theorem says that a2+b2=h2 where h is the length of the hypotenuse and a and b are the lengths of the other sides. Let's say the hypotnuse is 3, then a2+b2=9 a and b could be the 1 and the square root of 8 or the square root of 2 and the square root of 7 or the square root of 3 and the square root of 6. In fact, there are an infinite number of combinations of lengths that a and b could be.
A right triangle has a hypotenuse of 10 cm and one leg that measures What is the length of the other leg?
Without knowing the measurement of one of its legs it's impossible to work out using Pythagoras' theorem. So from an experienced guess the two legs could be 8 cm and 6 cm with an hypotenuse of 10 cm.
