Pythagorean Theorem Jeopardy!

Vocabulary

100

#15 Define the legs of a triangle

The shorter two legs of a right triangle the form the right angle

200

#16 Define the hypotenuse

The longest side of a right triangle and the side opposite the right angle

300

#17 What is the formula for the Pythagorean Theorem?

a² + b² = c²

400

The operation we used to "get rid" of something squared.

Find the square root

500

#19 What is the only type of triangle that works with the Pythagorean Theorem. (Or a triangle with an angle measuring 90 degrees)

Right Triangle

Solving for legs

100

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

4

200

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

8

300

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

12

400

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

24

500

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

28

Solving for Hypotenuse

100

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

 5

200

When one leg=3 and the other leg=5 then the hypotenuse=? Round to the nearest tenth

5.8

300

When one leg=6 and the other leg=7 then the hypotenuse=? Round to the nearest tenth

9.2

400

When one leg=10 and the other leg=9 then the hypotenuse=? Round to the nearest tenth

13.5

500

#12 The shortest leg of a right triangle is 27 units. The other leg is the solution to 2x – 5 = 67. What is the length of the hypotenuse?

45

Pieces of the Formula

100

Letters "a" and "b" are used to represent which part of a right triangle?

leg

200

The letter in the formula that stands for the length of the hypotenuse of a right triangle

c

300

#5 Determine whether the triangle with the given side lengths is a right triangle:

a = 14, b = 16, c =18

NO

400

#4 Determine whether the triangle with the given side lengths is a right triangle:

a = 6, b = 8, c = 10

YES

500

#14 Persuade Mr. Zorn whether the numbers 12, 16, and 20 make a right triangle or not. Make sure to state reasons for and against your belief. 

It would form a right triangle.

12^{2 +} 16^{2 =} 20²

144 + 256 = 400

Word Problems

100

#9 In triangle ABC, side AB has a length of 6cm and side BC has a length of 10cm. What is the length of side AC?

c

200

#11 A rectangular flower bed is 9 feet wide and 12 feet long. What is the length of the diagonal?

15 ft

300

#6 What is the length of the ladder? It's 6 ft. from the house at the bottom and touches the wall 14 ft. up at the top. Round to the nearest tenth.

5.7 ft

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