Finding the Hypotenuse
Finding the Leg
Perimeter and Area
Word Problems
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 mi and c=10 mi.

b = 8 miles

100

Find the perimeter of a right triangle whose legs are 5 and 12 inches long.

30 inches

100

Sally walks away from her house. She walks 25 m west then 15 m south. How far, in meters, is she from her house?

29.2 meters

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

Find the area of a right triangle whose leg is 3 cm and hypotenuse is 5 cm.

6 square centimeters

200

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

15.5 inches

300

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

13 m

300

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

a = 11.2 cm

300

If the hypotenuse is 9 inches and one leg is 6 inches, what is the area of the right triangle?  Round to the nearest 10th.

20.1 square inches

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

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 cm and c=4 cm.

a = 3.9 cm

400

Find the area of a right triangle whose legs measure 6 feet and 10 feet.

30 square feet

400

Ed 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

500

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

20 inches

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

Find the perimeter of a right triangle if the hypotenuse is 16 ft and the leg is 5 ft.

38 square feet

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

M
e
n
u