Chapter 5: Pythagorean Theorem

One leg of a right triangle is 3.2 centimeters long. The length of the second leg is 5.7 centimeters. What is the length of the hypotenuse? Round to the nearest tenth if necessary.

Pythagorean Theorem:

a² + b² = c²

• 6.5 cm

• 6.4 cm

• 2.5 cm

How far up (height) on the playhouse is the baseball bat resting? Round to the nearest tenth if necessary.

Pythagorean Theorem:

a² + b² = c²

• 34.5 in

• 33.5 in

• 28 in

What is the distance between points A(-3, 4) and B(1, -2)? Round to the nearest tenth if necessary.

*Hint: You can draw a line straight down and straight right to form a right triangle

Pythagorean Theorem:

a² + b² = c²

• 6.1 units

• 6.5 units

• 7.2 units

Which of the following could be the side measures of a right triangle?

Pythagorean Theorem:

a² + b² = c²

• 6 ft, 5 ft, 4 ft

• 8 ft, 7 ft, 6 ft

• 10 ft, 8 ft, 6 ft

Rini used a stick to draw a right triangle in the ground. The hypotenuse of her triangle is 24 inches and one of the legs is 12 inches. What is the length of the third side (leg)? Round to the nearest tenth if necessary.

Pythagorean Theorem:

a² + b² = c²

• 20.8 in.

• 2 in.

• 12 in.

In the diagram, Jorge let go of the string tied to his balloon. Write and solve an equation (use Pythagorean Theorem) to find how far above Jorge’s head the balloon is. Round your answer to the nearest tenth if necessary.

Pythagorean Theorem:

a² + b² = c²

• 100 yds.

• 150 yds

• 51.2 yds

One leg of a right triangle is 6.4 centimeters long. The length of the second leg is 3.5 centimeters. What is the length of the hypotenuse? Round to the nearest tenth if necessary.

Pythagorean Theorem:

a² + b² = c²

• 2.1 cm

• 7.3 cm

• 6.1 cm

How far up on the house (height) is the 25 ft 3 ft ladder resting? Round to the nearest tenth if necessary.

Pythagorean Theorem:

a² + b² = c²

• 5.3 ft.

• 21 ft.

• 24.8 ft.

What is the distance between points V(3, 3) and W(-2, -3)? Round to the nearest tenth if necessary.

*Hint: You can draw a line straight down and straight right to form a right triangle

Pythagorean Theorem:

a² + b² = c²

• 12.6 units

• 11.2 units

• 7.8 units

Which of the following could be the side measures of a right triangle?

Pythagorean Theorem:

a² + b² = c²

• 5 ft, 4 ft, 3 ft

• 11 ft, 10 ft, 6 ft

• 15 ft, 10 ft, 5 ft