Pythagorean Theorem: 2D Problems

Barry rides his bike 4 miles north to get from his house to school. After school, he rides 5 miles west to his friend David’s house. To the nearest tenth, how far is the straight line distance from Barry’s house to David’s house?

• 6.4
• 7.8
• 9.2
• 3.5
• No Answer

The top of a ladder reaches 15 feet up against the side of a house. If the base of the ladder is 8 feet from the house, how long is the ladder? Round to the nearest tenth, if necessary.

• 17.0 feet
• 20.0 feet
• 12.0 feet
• 10.0 feet
• No Answer

Find the width of an iPad that has a diagonal of 13.75 inches and a length of 11 inches.

• 7.8 inches
• 3.6 inches
• 8.3 inches

• 5.2 inches
• No Answer

Your living room rug has a diagonal measure of 19.2 feet. If the width of the rug is 12 feet, find the length. Round to the nearest tenth.

• 8.7 feet
• 10.6 feet
• 15.0 feet

• 20.3 feet
• No Answer

The rectangular playground is 90 meters wide and 120 meters long. Betsy runs across diagonally from one corner to the other. How far did she run?

• 80 meters
• 100 meters
• 150 meters
• 210 meters
• No Answer

A 60 ft cable is stretched from the top of an antenna to an anchor point on the ground 18 feet from the base of the antenna. How tall is the antenna?

• The antenna is 57.2 feet tall.

• The antenna is 20.6 feet tall.

• The antenna is 62.4 feet tall.

• The antenna is 30.8 feet tall.

• No Answer

The area of a square is 256 m². How long is the diagonal?

• 64 m
• 45.3 m

• 128 m
• 22.6 m

• No Answer

An isosceles triangle has congruent sides of 12 cm. The base is 20 cm. Find the height of the triangle.

• 15 cm
• 6.6 cm

• 26.5 cm

• 28 cm
• No Answer

Jenny’s door is 38 inches wide and 80 inches tall. She purchased a round table with a diameter of 90 inches. What is the diagonal of the door?

• 88.6 inches

• 50 inches
• 93.3 inches

• 70.4 inches

• No Answer

Jenny’s door is 38 inches wide and 80 inches tall. She purchased a round table with a diameter of 90 inches. Will the table fit through the door?

• No
• Not sure
• Maybe
• Yes
• No Answer