Special Right Triangles

Front

In this 45-45-90 triangle, I have been given a leg. What is the length of x, the hypotenuse? Round your answer to the nearest tenth (one decimal).

Back

7.1

Front

What is the length of y in this picture?

Back

5

Front

In a 45-45-90 triangle, given the length of a leg, how do you find the length of the hypotenuse?

Back

Multiply that leg's length by √2.

Front

What is the length of x in this 45-45-90 triangle? Round your answer to the nearest tenth (one decimal). Options: 4√2, 5.7

Back

4√2, 5.7

Front

What is the length of y in this 45-45-90 triangle?

Back

8

Front

How do I find the long leg in a 30-60-90 triangle if given the short leg?

Back

Multiply 4 by √3

Front

How do I find the length of the hypotenuse in a 30-60-90 triangle if given the short leg?

Back

Multiply 4 by 2

Front

A square has side length 95. What is the length of the diagonal of the square?

Back

134.4

Front

You are making a guitar pick that resembles an equilateral triangle with side lengths of 32 millimeters. What is the approximate height of the pick? (hint: use 30-60-90 theorems)

Round your answer to the nearest tenth (one decimal place).

Back

27.7 mm

Front

How to find the short leg in a 30-60-90 triangle given the hypotenuse? Options: Multiply 6 by 2, Multiply 6 by √3, Divide 6 by 2, Divide 6 by √3

Back

Divide 6 by 2