Where are my legs!
Find that Hypotenues
square or square root
Pythagorean
Theorem
Word Problems
100

Use the Pythagorean theorem a2 + b2 = c2 to find the missing leg for the triangle with c=5 and b=4.

a = 3

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

16 to the exponet of 2

256

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

200

Use the Pythagorean theorem a2 + b2 = c2 to find the missing leg for the triangle with a = 7 and c = 25.

b = 24

200

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

10

200

√841

What is 29?

200

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

leg2 + leg2 = hypotenuse2

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 leg for the triangle with a= 10 and c=15.

b = 11.2

300

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

13

300

12 to the exponet of 2 

144

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

400

Use the Pythagorean theorem a2 + b2 = c2 to find the missing leg for the triangle with c=26 and b=16.

a = 20.5

400

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

15

400

√1764

42

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?

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?

500

Use the Pythagorean theorem a2 + b2 = c2 to find the missing leg for the triangle with c = 37 and b = 15.

a = 33.8

500

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

20

500

27 to the exponet of 2

729

500

Who is credited with discovering the Pythagorean Theorem?

Pythagoras

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

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