Pythagorean Theorem Jeopardy!

Vocabulary

100

What are the sides of the triangle next to the right angle?

Legs

200

What is the side of the triangle across from the right angle? (*Side c)

Hypotenuse

300

What is the formula for the Pythagorean Theorem?

What is a^2+b^2=c^2

400

What is the formula for find the legs of a right triangle

c² - a² or b² = a² or b²

500

What is the name of the guy who is given credit for discovering the theorem we have been learning about?

Pythagoras

Solving for legs

100

When one leg=3 and the hypotenuse=5 then the other leg=?

What is 4?

200

When one leg=6 and the hypotenuse=10 then the other leg=?

What is 8?

300

When one leg=5 and the hypotenuse=13 then the other leg=?

What is 12?

400

When one leg=7 and the hypotenuse=25 then the other leg=?

What is 24?

500

When one leg=21 and the hypotenuse=35 then the other leg=?

What is 28?

Solving for Hypotenuse

100

When one leg=3 and the other leg=4 then the hypotenuse=?

What is 5

200

When one leg=3 and the other leg=5 then the hypotenuse=?

What is 5.8

300

When one leg=6 and the other leg=7 then the hypotenuse=?

What is the 9.2

400

When one leg=10 and the other leg=9 then the hypotenuse=?

What is the 13.5?

500

When one leg=15 and the other leg=22 then the hypotenuse=?

What is the 26.6?

Converse

100

Is this a right triangle:

3, 5, 4

Yes!

3²+4²=5²

9+16=25

200

Is this a right triangle?

3, 7, √45

No!

3²+√45²=7²

9+45≠49

300

Is this a right triangle?

8, √36, √23

No!

√36²+√23²=8²

36+23≠64

400

Is this a right triangle?

√45, 15, √180

Yes!

√45²+√180²=15²

45+180=225

500

Is this a right triangle?

1/2, 3/4 √5/16

Yes!

1/2²+√5/16²=3/4²

1/4+5/16=9/16

4/16+5/16=9/16

Miscellanous

100

The shape we can use to help prove or understand the Pythagorean theorem

What is square?

200

The only type of triangle you can use the pythagorean theorem on.

What is a right triangle.

300

What are the symbols to square a number and to square root a number?

x² and √x

400

Construction workers are building a ramp. The ramp is 9 feet high and 12 feet long. This is the length of the slanted part of the ramp.

What is 15 feet?

500

Roofers need to know how long of a ladder they need. The roof is 16 feet high and the bottom of the ladder will be placed 12 feet from the building. What is the length of the ladder?

20 feet