Special Right Triangles

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).

(a)  

What is the length of y in this picture?

(a)  

In this 45-45-90 triangle, I have been given the length of a leg.  How do I find the length of the hypotenuse?

• It is the same length as the given leg.
• Multiply that leg's length by √2.
• Multiply that leg's length by 2.
• Divide that leg's length by √2.

Tags

CCSS.8.G.B.8

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

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

(a)  

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

(a)  

I have been given the short leg in this 30-60-90 triangle.  How do I find the long leg?

• Multiply 4 by 2
• Multiply 4 by √3
• Multiply 4 by √2
• Divide 4 by 2

Tags

CCSS.HSG.SRT.C.8

I have been given the short leg in this 30-60-90 triangle.  How do I find the length of the hypotenuse?

• Multiply 4 by 2
• Multiply 4 by √3
• Multiply 4 by √2
• Divide 4 by √3

Tags

CCSS.HSG.SRT.C.8

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

Express your answer in decimal form rounded to the nearest tenth (one decimal place).

(a)  

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).

(a)  

I have been given the hypotenuse in this 30-60-90 triangle.  How do I find the short leg?

• Multiply 6 by 2
• Multiply 6 by √3
• Divide 6 by 2
• Divide 6 by √3

Tags

CCSS.HSG.CO.C.10