Special Right Triangle Applications

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

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

Which of the following is a characteristic of a 45-45-90 triangle?

• The lengths of the legs are equal.

• The length of the hypotenuse is twice the length of one leg.

• The lengths of the legs are in a ratio of 1:2.

In a 30-60-90 triangle, if the hypotenuse measures 16 cm, what is the length of the longer leg?

• 8 cm

A 30-60-90 triangle has a hypotenuse of 20 cm. What is the length of the shorter leg?

• 10 cm

In a 30-60-90 triangle, the longer leg measures 10 cm. What is the length of the shorter leg?

• 5 cm

• 20 cm

• 5 cm

• 10 cm

What is the length of y in this picture?

• 45

• 5√2

• 90

• 5