Word Problems: Pythagorean Theorem

A triangle has legs which measure 15 inches and 20 inches. Find the length of the hypotenuse.

• 28 inches

• 32 inches

• 13 inches

• 25 inches

Tanya runs diagonally across a rectangular field that has a length of 40 yards and a width of 30 yards.

What is the length of the diagonal, in yards, that Tanya runs?

• 50 yards

• 60 yards

• 70 yards

• 80 yards

A ladder 10 meters long, leans against a wall. The foot of the ladder is 6 meters from the base of the wall. How far up the wall does the ladder reach?

• 7 meters

• 8 meters

• 9 meters

• 5 meters

A ship sales 24 miles due south, and then 7 miles due west. How far is it from its starting point?

• 15 miles

• 25 miles

• 17 miles

• 26 miles

Given that ABCDEFGH is a rectangular box as shown, the length of AB is

12 centimeters, BC is 9 centimeters, and AF is 8 centimeters. Find the length of AH.

• 15 cm.

• 16 cm.

• 17 cm.

• 18 cm.

In the figure below, PQRS and STUV are squares. If the area of PQRS is 81 cm², calculate the area of STUV.

• 9 cm²

• 16 cm²

• 36 cm²

• 47 cm²

Calculate the area of triangle PSQ.

• 24 cm²

• 25 cm²

• 28 cm²

• 50 cm²

𝑇𝑅 is the diagonal length of this cubic box and PR is the diagonal of PQRS.

Find the length of TR.

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Find the area of figure ABCD.

• 256 cm²

• 225 cm²

• 144 cm²

• 100 cm²

What is the area of triangle ABC?

• 100 cm²

• 150 cm²

• 126 cm²

• 160 cm²