Special Right Traingles 30°- 60°- 90°

Question

Find the length of the longer leg and the length of the hypotenuse given the length of the shorter leg of a 30°-60°-90° triangle is 15

Answer 1

The longer leg is 15√3

The length of the hypotenuse = 30

There is a special relationship for the sides of a 30 60 90 Right Triangle

It says in general if the length of the shortest side is x, the side opposite the 30 degree angle then

the other sides are x√3, 2x.

If the side opposite the 30 degree angle is 15 then the other sides are 15√3 and 2(15) or 30

You can check the numbers with the Pythagorean Theorem

(15*√3)² + 15² = 30²

675 + 225 = 900

900 = 900

I hope you find this useful if you have any questions you send a message. Also the properties of certain Right Triangles are available online you can research the 30 60 90 and the 45, 45 90 Right Triangles.