Finding the Hypotenuse of a Right Triangle and the Converse

Find x.

• 10

• 10√3

• 10√2

• 20

Find x.

• 22

• 11√3

• 11√2

• 11

What is the length of y in this picture?

• 45

• 5√2

• 90

• 5

What is the length of the missing side?

• 17

• 13

• 10.9

• 169

Which statement is the MOST accurate about the converse of the Pythagorean Theorem?

• The converse is used to determine an unknown side length.

• The converse is only useful with right triangles

• The converse is used to determine if a triangle is or is not a right triangle

• The converse always works out that a²+b²=c²

Answer explanation

The Converse of the Pythagorean Theorem states:

IF
$a^2+b^2=c^2$
(where c is the longest side length)

THEN

The triangle is a right triangle.

• A
• B
• C
• D

Match the following for a 30-60-90 right triangle

• Opposite the 60° angle.

• Short Leg

• Opposite the right angle.

• Hypotenuse

• Opposite the 30° angle.

• Long Leg

Label each of the following.

a

b

c

Short Leg

Long Leg

Hypotenuse

If the legs of a right triangle are 10 and 24, what is the length of the hypotenuse?

• 30

• 28

• 26

• 32

If the legs of a right triangle are 6 and 8, what is the length of the hypotenuse?

• 15

• 10

• 14

• 18