Application of Pythagorean Theorem

Jane and Miguel are siblings. They go to different schools. Jane walks 6 blocks east from home. Miguel walks 8 blocks north. How many blocks apart would the two schools be if you could walk straight from one school to the other?

• 14

• 10

• 5.3

• 2

The top of a ladder rests at a height of 25 feet against the side of a house. If the base of the ladder is 8 feet from the house, what is the length of the ladder?

• 26 feet

• 17 feet

• 24 feet

• 33 feet

Avon Grove Middle School is located 3.6 miles directly east of Brother's Pizza. The Dunkin is located 6.3 miles directly north of Avon Grove Middle School. What is the length of a straight line between Brother's Pizza and Dunkin? Round to the nearest tenth.

Point A is located at (5,10) on a coordinate grid. Point B is located at (12, 14) on the same coordinate grid. What is the distance from point A to point B, round to the nearest tenth?

• 8.9 units

• 5.7 units

• 8.1 units

• 8.6 units

The diagonal of your rectangular TV screen is 55 inches. The width of your TV screen is 40 inches. Which measurement is closest to the height of your TV screen?

• 15 inches

• 38 inches

• 42 inches

• 68 inches

What is the length of the diagonal of a paper with dimensions 14 inches by 18 inches?

• 4 inches

• 23 inches

• 32 inches

• 11 inches

You need to pack a maker into a rectangular pencil box. The marker is 8 inches long. The rectangular pencil box is 4 inches by 6 inches and a height of 10 inches. Could the maker lie flat on a diagonal along the base of the box?

• Yes; the diagonal of the box is about 7.2 inches. Therefore, the 8 inch marker will fit because it is shorter than the diagonal.

• Yes; the diagonal of the box is about 11.7 inches. Therefore, the 8 inch marker will fit because it is shorter than the diagonal.

• No; the diagonal of the box is about 7.2 inches. Therefore, the 8 inch marker will not fit because it is longer than the diagonal.

• No; the diagonal of the box is about 11.7 inches. Therefore, the 8 inch marker will not fit because it is longer than the diagonal.

What is the distance from point A to point B?

• 6

• 7

A fire truck parks 16 feet away from a building. The fire truck extends its ladder 30 feet to the very top of the building. How tall is the building? Round to the nearest foot.

• 14 feet

• 25 feet

• 34 feet

• 46 feet

The diagram shows a triangle. What is the value of x?

• 11 cm

• 12 cm

• 13 cm

• 14 cm