Special Right Triangles and Pythagorean

solve for x

• 5552363959656.

• 10

• 100

• 89

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 y in this 45-45-90 triangle?

• 8√2

• 4√2

• 4

• 8

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 is the value of x?

• 12√2

• 12√3

• 24

• 36

Answer explanation

The original

Scale factor = 12

Find the values of a and b.

• A

• B

• C

• D

• E

What is the length of x in this picture?

• 3√3

• 3

• 6

• 3√2

Find x.

• 22

• 11√3

• 11√2

• 11

What is the length of y in this picture?

• 45

• 5√2

• 90

• 5

Find a.

• 2√6

• 2√3

• 3

• 6