Applying the Pythagorean Theorem Quiz

The garden is 6 feet wide and has a diagonal measurement of 10 feet.
What is x, the length of the garden, in feet? 
(Enter the number only.)

Find x in the following figure. Round to the nearest tenth if necessary.

A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?

• 111.8 yards
• 115 yards
• 127.3 yards
• 119 yards

Ashton left his house and ran 4 miles east and then 3 miles north. He then took the diagonal path back home. If he burned 105 calories for every mile that he ran, how many total calories did he burn on his run?

• 630 calories

• 2,520 calories

• 1,260 calories

• 1,470 calories

The picture below shows a ramp that Mike is building. How long does the board need to be to cover the ramp?

• 8.5

• 17

• 13

• 10.9

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?

• 25 feet
• 26 feet
• 27 feet
• 28 feet

The diagram shows a ramp and some of its dimensions. What is the height,  $h$ , of the ramp?

• 1 ft.

• 5 ft.

• 8 ft.

• 25 ft.

Find the area of the missing square off of leg A if the area of one square is 369 and the area of another is 81?

• 21.2

• 17

• 450

• 288

The side lengths of a right triangle are 24, 45 and 51. Which side is the hypotenuse?

• 51

• 24

• 45

• Can't determine

Answer explanation

The hypotenuse is always the longest side. For a triangle with lengths 24, 45, and 51, 51 is the longest side.

The diagram shows a rectangular field.

What is the length of the diagonal of the field?

• 120 ft.

• 200 ft.

• 394 ft.

• 520 ft.