Solving Special Triangles

If the leg of a 45-45-90 triangle is 7 cm long, then its hypotenuse is _____ cm.

• 7√2

• 49√2

• 7

• 7√7

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

• 4√2

• 4

• 8

• 4√3

Find c.

• 6√2

• 2√6

• 6

• 12

What is the length of u and v in this 30-60-90 triangle?

• u = 8 v = 4√3

• u = 4√2 v = 8

• u = 16 v = 8

• u = 4√3 v = 8

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.

Find x.

• 10

• 20

• 10√3

• √3

Find the values of x and y.

• x = 6 y = 3√3

• x = 3√2 y = 3

• x = 3√3 y = 6

• x = 3√3 y = 3√2

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

• 8 cm

• 5 cm

• 10 cm

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

• 10 cm