- Pythagorean Theorem Jeopardy -

Find the Leg

100

a² + 3² = 5²

a = 4

200

a² + 12² = 15²

a = 9

300

a² + 8² = 10²

a = 6

400

a² + 15^{2 =} 17²

a = 8

500

a² + 9² = 15²

a = 12

Find the Hypotnuse

100

12² + 9² = c²

c = 15

200

5² + 12² = c²

c = 13

300

8² + 15² = c²

c = 17

400

12² + 16² = c² 

c = 20

500

8² + 15² = c² 

c = 17

Vocabulary

100

What is the formula?

a²+b²=c²

200

What type of triangle does the Pythagorean theorem apply?

A right triangle. 

300

What side is not a part of the right triangle?

Hypotenuse 

400

What are the sides called that are straight and make a 90 degrees angle?

Leg

500

What is the last step in finding the missing value of the side you are trying to find?

Square Root 

Word Problems

100

Alisa is standing near a flag pole and wants to know how far away she is from the bottom of the flag pole. If the hypotenuse is 20 meters and the leg (a) is 12 meters, what is the other missing leg (b)?

She is 16 meters away from the bottom of the flag pole.

200

Maria and Levi are jumping into the pool they want to know how far they need to run to get to the pool fast. If the hypotenuse is 41 inches and the first leg is 9 inches, what is the missing legs value? 

They need to run 40 inches to reach the pool fast enough to do their fun tricks into the water.  

300

Milly is skydiving and she wants to know where she will land if she is carried  by the wind and dropped from the plane. If the first leg is 4 yards and the second leg is 3 yards. What would be the hypotenuse? If necessary round to the nearest tenth. 

She will be carried and dropped 5 yards. 

400

To get to his parents' house, Carter would have to drive due north 4 miles. To get to his grandparents' house, he would have to drive due east 3 miles. What is the straight-line distance between the parents' and grandparents' houses?

The straight line between the houses is 5 miles. 

500

Suzie is about to ride a straight water slide. The length of the water slide itself is 15 meters. The splash pool at the end of the slide is 12 meters away from the base of the tower that leads up to the launching platform. How high is the launching platform?

The launching platform is 9 meters high. 

Random

100

Is 256 a perfect square root?

Yes, the square root is 16!

200

Is 120 a perfect square root?

No, the square root is 10.95.

300

Is 32 a perfect square root?

No, the square root is 5.66.

400

Is 121 a perfect square root?

Yes, the square root is 11!

500

Is 64 a perfect square root?

Yes, the square root is 8!