Identify Special Right Triangles

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

• 4√2

• 4

• 8

• 4√3

What type of special right triangle is this?

• 45-45-90

• 30-60-90

• not a special right triangle

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.

Choose the correct values for x and y in the right triangle.

Which of the following are considered special right triangles?

• 30-60-90

• 45-45-90

• 20-70-90

• 40-50-90

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, if the hypotenuse measures 16 cm, what is the length of the longer leg?

• 8 cm

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.

Choose the correct values for x and y in the right triangle.

Choose the correct values for x and y in the right triangle.