Hypotenuse
Leg
Pythagorean
Theorem
Word Problems
Angles
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

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

100

Name a pair of vertical angles and a pair of supplementary angles.

1 and 3

1 and 2


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

Determine whether the triangle is a right triangle using the measures.

 

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

Name a pair of alternate interior angles and alternate exterior angles.

3 and 5

1 and 10

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

When using the Pythagorean Theorem, which side does c always have to be?

The hypotenuse and the longest side

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

Find the measure of x.

x=18

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 must be true about your triangle in order to use the Pythagorean Theorem?

It must be a right triangle.

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

400

Find x.

x=70

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

FInd the measure of the diagonal.

5.39

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

Find the sum of the interior angle measures of each triangle.

720 degrees

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