Find the hypotenuse
Find the leg
Word Problems
100

Use the Pythagorean theorem to find the missing hypotenuse for the triangle with legs 3 and 4 inches long

What is 5 inches

100

A triangle with sides of 3 and 5.

What is 4

100

A suitcase measures 24 inches long and 18 inches high.  What is the diagonal length of the suitcase?

What is 30 inches

200

Use the Pythagorean theorem to find the missing hypotenuse for the triangle whose legs are 6 and 8.

What is 10

200

Triangle with leg 8 and hypotenuse 10

What is 6

200

You go for a run and run 8 miles north and 5 miles west.  How far away are you from your starting point?

What is 9.4 miles

300

Use the Pythagorean theorem to find the missing hypotenuse for the triangle with sides 5 and 12

What is 13

300
Triangle with leg 9 and hypotenuse 15
What is 12
300

A ladder 13 m long is placed on the ground in such a way that it touches the top of a vertical wall 12 m high. Find the distance of the foot of the ladder from the bottom of the wall.

What is 5

400

Use the Pythagorean theorem to find the missing hypotenuse for the triangle has sides 4 and 5

What is 6.4

400

Triangle with hypotenuse 20 and leg 16

What is 12

400

A glider flies 8 miles south from the airport and then 15 miles east. Then it flies in a straight line back to the airport. What was the distance of the glider’s last trip back to the airport?

What is 17 miles

500

Use the Pythagorean theorem to find the missing hypotensue for the triangle with sides 7 and 6

What is 9.2

500

Triangle with side leg 12 and hypotenuse 13.

What is 5

500

A flag pole is 20ft high and cast a shadow of 5ft. What is the distance from the top of the pole to the end of the shadow?

What is 20.6 feet

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