Pythagorean Theorem Review

Word Problems

100

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

29.2 meters

200

An envelope is 11 inches wide and 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 that is 25 meters long. if his friend is directly under the kite 10 meters 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

Legs

100

Use the Pythagorean Theorem a²+b² =c² to find the missing SIDE for the triangle with b=3 and c=5

a=4

200

Use the Pythagorean Theorem a²+b²=c² to find the missing SIDE for the triangle with b=5 and c=13

a=12

300

Use the Pythagorean Theorem a²+b²=c² to find the missing SIDE for the triangle a=15 and c=17

b=8

400

Use the Pythagorean Theorem a²+b²=c² to find the missing SIDE for the triangle a=12 and c=20

b=16

500

Use the Pythagorean Theorem a²+b² =c² to find the missing SIDE for the triangle with a=12 and c=15

b=9

Hypotenuse

100

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

5 inches

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

Vocab

100

In the Pythagorean theorem  a² + b² = c², what are a and b called?

Legs

200

In the Pythagorean theorem a² + b² = c², what is "c" called?

Hypotenuse

300

True or False:

Pythagorean Theorem can ONLY be used with right triangles.

True

400

True or False: 

Pythagorean Theorem can be used to only find the hypotenuse

False

500

What is the name of the man that the Pythagorean theorem is named after?

Pythagoras

Distance and converse

100

Find the distance between the 2 points

(1,2), (7,6)

What is the square root of52

200

find the distance

(4,-5),(-1,7)

What is  13

300

find the distance

(2,4), (7,2)

What is the square root of 29

400

Am I a right triangle

14, 19, 23

What is no

500

Am I a right triangle (prove it)

1.4, 4.8, 5

What is yes