Applying the Pythagorean Theorem: Level 1

The diagram shows a rectangular field.

What is the length of the diagonal of the field?

• 120 ft.

• 200 ft.

• 394 ft.

• 520 ft.

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.)

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.

Pat is making a shelf for a corner in her house. Her plan for cutting one piece of a board is shown. 
Find the measure of  $k$  in inches.

• 34

• 30

• 26

• 22

The roads connecting the three towns form a right triangle. Based on the distances given on the map, how far is it from Maple to Sable?

• 19 km

• 16 km

• 15 km

• 12 km

Triangle PQR represents Jim's trip across a river. PQ represents the planned trip and PR represents his actual trip. Based on the measurements, which is closest to PR?

• 104 ft.

• 117 ft.

• 120 ft.

• 160 ft.

Mr. Hill placed a 25-foot ladder against his house. The ladder reached up to a height of 24 feet on the outside of the house.

How far did Mr. Hill place the base of the ladder from his house?

• 1 foot

• 7 feet

• 35 feet

• 49 feet

A rectangular garden has the dimensions shown. A pathway cuts diagonally through the garden. What is the length of the pathway?

• 92 feet

• 46 feet

• 34 feet

• 25 feet