Hypotenuse
Leg
Random
Word Problems
Converse of
Pythagorean Theorem
100

Use the Pythagorean theorem a2 + b2 = c2 to find the missing hypotenuse for the triangle with legs 3 and 4 cm long.

5 cm

100

Use the Pythagorean theorem a2 + b2 = c2 to find the missing LEG for the triangle with a=6 and c=10.

b = 8

100

In terms of a, b, and c, what is the Pythagorean Theorem?

a2 + b2 = c2

100

Kylie walks away from her house. She walks 25 m right then 15 m down. How far, in meters, is she from her house?

29.2 meters

100

Would a triangle with side lengths 6,10,and 8 inches form a right triangle?

yes

200

Use the Pythagorean theorem a2 + b2 = c2 to find the missing hypotenuse for the triangle whose legs are 6 and 8.

10

200

Use the Pythagorean theorem a2 + b2 = c2 to find the missing LEG for the triangle with b=9 and c=20.

a = 17.9

200

Which Disney character is known for leaving a glass slipper at a royal ball?

Cinderella

200

An envelope is 11 inches wide and measures 19 inches along the diagonal. How tall, in inches, is the envelope?

15.5 inches

200

In order to ensure that the roof consists of right angles, an architect measures the diagonal to create a triangle. If the dimensions of the triangle are 9.5 feet, 16 feet, and 18.5 feet, is the triangle a right triangle?

NO

300

Use the Pythagorean theorem a2 + b2 = c2 to find the missing hypotenuse for the triangle whose legs are 5 and 12.

13

300

Use the Pythagorean theorem a2 + b2 = c2 to find the missing LEG for the triangle with b=10 and c=15.

a = 11.2

300

What is the name of the toy cowboy in "Toy Story?"

Woody

300

A 13 foot ladder is placed 5 feet away from a wall. How many feet up the wall will the ladder reach?

12 feet

300

Would a triangle with side lengths 5in, 12in, and 13in form a right triangle?

YES

25+144=169

400

Use the Pythagorean theorem a2 + b2 = c2 to find the missing hypotenuse for the triangle whose legs are 9 and 12.

15

400

Use the Pythagorean theorem a2 + b2 = c2 to find the missing LEG for the triangle with b=1 and c=4.

a = 3.9

400

What superhero is known to respresent our country?

Captain America

400

Damian is flying a kite with a string 25 meters long. If his friend is directly under the kite 10 m away, how high, in meters, is the kite off the ground?

22.9 meters

400

Three cities form a triangle. Miko measures the distances between the three cities on a map. The distances between the three cities are 45 miles, 56 miles, and 72 miles. Is the triangle formed by the three cities a right triangle? 

NO

sides squared =5,161 

hypotenuse squared = 5184

500

Use the Pythagorean theorem a2 + b2 = c2 to find the missing hypotenuse for the triangle whose legs are 12 and 16.

20

500

Use the Pythagorean theorem a2 + b2 = c2 to find the missing LEG for the triangle with a=6 and c=9.

b = 6.7

500

What are the five senses?

touch, sight, smell, hearing, taste

500

A football field is a rectangle 48 meters wide and 91 meters long. The coach asks players to run from corner to corner diagonally across the field. How far do the players run?

102.9 meters

500

The distance between each base on a softball field is 60 feet. Kenya is placing the bases and measures the distance between home plate and second base. She determines the distance to be 80 feet. Are the bases at right angles? Explain.?

NO