Special Right Triangles

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

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

• Multiply by √2

• Divide by √2

• It's the same length as the hypotenuse.

• Divide by 2

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

• 8√2

• 4√2

• 4

• 8

Find x.

• 10

• √3

• 5

• 10√3

Find x.

• 10

• 20

• 10√3

• √3

Find n.

• 4

• 6

• 12

• 2√3

Find x.

• 4

• 2

• 4√3

• 2√2

Use the right triangle above to determine the value of x ?

Mathematical Equivalence

ON

Find the unknown side length. Write your answer in simplest radical form.

A right triangle where a=24, b=x, and c=25

Mathematical Equivalence

ON