Pythagorean Theorem Converse and Special Right Triangles

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.

Find x.

• 10

• 10√3

• 10√2

• 20

What is the length of the missing side?

• 17

• 13

• 10.9

• 169

Can side lengths 6, 8, and 10 form a right triangle?

• yes

• no

The slide at the playground has a height of 6 feet. The base of the slide measured on the ground is 8 feet. What is the length of the slide?

• 8 feet

• 5.29 feet

• 10 feet

• 14 feet

• A
• B
• C
• D

In a 45-45-90 right triangle, how many sides are the same size?

• None

• Two

• All 3

• Depends on the triangle

Label each of the following.

a

b

c

Long Leg

Hypotenuse

Short Leg

Which of these variables is used to represent the HYPOTENUSE?

• a

• b

• c

• d

(Use Pythagorean Theorem)

• 22 in

• 23 in

• 24 in

• 25 in