Geometry Right Triangle Review

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.

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

• 4√2
• 4
• 8
• 4√3

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

• 8√2
• 4√2
• 4
• 8

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

Which side is the short leg of this 30-60-90 triangle?

• 6
• m
• n

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 = 1.5√3 y =1.5
• x = 3√3 y = 6
• x = √3 y = 2√3

Find the value of y.

• 11√2
• 11
• 22
• (11√2)/2

What is the value of x?

• 12√2
• 2√12
• 24
• 2