Pythagorean Theorem Jeopardy

Solve for A

100

B=24

C=30

A=?

A=18

200

B=30

C=34

A=?

A=16

300

B=28

C=35

A=?

A=21

400

B= 19.2

C=22.7

A=?

(Round to the nearest hundredth)

A=12.11

500

B=22.23

C=47.89

A=?

A=42.42 

Solve for B

100

A=28

C=53

B=?

B=45

200

A=11

C=61

B=?

B=60

300

A=33

C=65

B=?

B=56

400

A=33.8

C=68.5

B=?

(Round to the nearest hundredth)

B=59.58 

500

A=66.2

C=103.22

B=?

(Round to the nearest tenth)

B=79.2 

Solve for C

100

A=3

B=4

C=?

C=5

200

A=9

B=12

C=?

C=15

300

A=12

B=16

C=?

C=20

400

A=8.3

B=9.1

C=

(Round to the nearest hundredth)

C=12.32

500

A = 12.6

B= 19.37

C=?

(Round to the nearest hundredth)

C=23.11 

Pythagorean Vocab

100

A²+B²⁼?

C²

200

What is the hypotenuse?

The longest/diagonal side of a right triangle

300

What are the legs of a triangle?

The two shorter sides if a triangle that are adjacent to the right angle

400

What does converse mean?

If the square of one side of the triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.

500

What is a Pythagorean Triple? 

Integers that work in the Pythagorean theorem

Word Problems

100

Amy is walking to school. She walked 3 miles straight and 4 miles up to get to school. Then Amy took a shortcut back home diagonally straight. How many miles did Amy walk back home using the shortcut?

Amy walked 5 miles

200

Emily is setting up a triangular garden. One of the sides measures 80 meters, and the hypotenuse is 97 meters. What is the length of the other side?

(Round to the nearest whole number)

 

The length of the other side is about 55 meters.

300

Jacob is setting up a triangular roof for his shed. One of the legs of the triangle is 132 feet, and the hypotenuse is 165 feet. What is the length of the other leg?

The length of the other leg is 99

400

John is setting up a triangular flagpole. One of the legs of the triangle is 8.5 meters, and the other leg is 11.2 meters. What is the length of the hypotenuse? 

(Round to the nearest hundredth)

The hypotenuse is about 14.05 meters long.

500

DAILY DOUBLE!!!!! Derek is going on a road trip. He drives 80.2 miles straight and 55.3 miles to the right to reach his destination. On his way back, Derek takes a totally legal shortcut on a diagonal straight line that goes directly back home. How many miles will it take Derek to get back home. Round to the nearest hundredths place.

Derek drove 97.42 miles back home.