Special Right Triangles

In this 45-45-90 triangle, I have been given a leg, so to find the other leg I...

• Multiply that leg by 2
• Use the same length for the second leg
• Multiply that leg by √2
• Divide that leg by √2

What is the length of y in this picture?

• 45
• 5√2
• 90
• 5

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

• 8√2
• 4√2
• 4
• 8

Which side is the long leg in this 30-60-90 triangle?

• 4
• u
• v

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

What are x and y in this 30-60-90 triangle?

• x = 6 y = 3√3
• x = 3√2 y = 3
• x = 3√3 y = 6
• x = 3√3 y = 3√2

Find x.

• 10
• 5
• 20
• 3

• A
• B
• C
• D

Solve for x. 
You will need to use 45-45-90 and 30-60-90 triangles.

• 10√3
• 15
• 5√3
• 15√2

Tags

CCSS.HSG.CO.C.9

Find a. (Hint: You will need to use Pythagorean theorem)

• 50
• 50√2
• 25√2
• 45.9