Pythagorean Theorem Jeopardy!

Vocabulary

100

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

Legs

200

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

Hypotenuse

300

What is the formula for the Pythagorean Theorem?

What is a² + b² = c²

400

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

Pythagoras

500

What is the only type of triangle that works with the Pythagorean Theorem?

Right Triangle (Or a triangle with an angle measuring 90 degrees)

Solving for legs

100

One leg=3 inches and the hypotenuse=5 inches.

Find the length of the other leg. Round to the nearest tenth, if necessary, and include units.

4 inches

200

One leg=6 km and the hypotenuse=10 km.

Find the length of the other leg. Round to the nearest tenth, if necessary, and include units.

8 km

300

One leg=5 miles and the hypotenuse=13 miles.

Find the length of the other leg. Round to the nearest tenth, if necessary, and include units.

12 miles

400

One leg=7 inches and the hypotenuse=25 inches.

Find the length of the other leg. Round to the nearest tenth, if necessary, and include units.

24 inches

500

One leg=21 miles and the hypotenuse=35 miles.

Find the length of the other leg. Round to the nearest tenth, if necessary, and include units.

28 miles

Solving for Hypotenuse

100

One leg=3 cm and the other leg=4 cm.

Find the length of the hypotenuse. Round to the nearest tenth, if necessary, and include units.

5 cm

200

One leg=3 meters and the other leg=5 meters.

Find the length of the hypotenuse. Round to the nearest tenth, if necessary, and include units.

≈5.8 meters

300

One leg=6 feet and the other leg=7 feet.

Find the length of the hypotenuse. Round to the nearest tenth, if necessary, and include units.

≈9.2 feet

400

One leg=10 miles and the other leg=9 miles.

Find the length of the hypotenuse. Round to the nearest tenth, if necessary, and include units.

≈13.5 miles

500

One leg=15 km and the other leg=22 km.

Find the length of the hypotenuse. Round to the nearest tenth, if necessary, and include units.

≈26.6 km

Using Pythagorean Theorem

100

One leg=3 cm and the other leg=4 cm.

Find the length of the PERIMETER. Round to the nearest tenth, if necessary, and include units.

12 cm

200

One leg=6 km and the hypotenuse=10 km.

Find the AREA. Round to the nearest tenth, if necessary, and include units.

24 km²

300

One leg=6 feet and the other leg=7 feet.

Find the PERIMETER. Round to the nearest tenth, if necessary, and include units.

22.2 feet

400

One leg=7 inches and the hypotenuse=20 inches.

Find the AREA. Round to the nearest tenth, if necessary, and include units.

65.5 in²

500

One leg=21 inches and the hypotenuse=25.3 inches.

Find the AREA. Round to the nearest tenth, if necessary, and include units.

148 in²

Miscellanous

100

What letter represent the hypotenuse in Pythagorean Theorem?

c

200

What letters represent the legs in Pythagorean Theorem?

a and b

300

What is the only type of triangle you can use the pythagorean theorem on?

Right Triangle

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