ISASP Review of the Pythagorean Theorem

Finding the Hypotenuse

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

200

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

10

300

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

13

400

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

15

500

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

20

Finding the Leg

100

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

b = 8

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

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

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

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

PythagoreanTheorem

100

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

a² + b² = c²

200

In terms of legs and hypotenuse, what is the Pythagorean Theorem?

leg² + leg² = hypotenuse²

300

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

The hypotenuse and the longest side

400

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

It must be a right triangle.

500

Who is credited with discovering the Pythagorean Theorem?

Pythagoras

Word Problems

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

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

15.5 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

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

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