Pythagorean Theorem

Facts & Vocab

100

The formula for Pythagorean Theorem?

What is a²+b² = c²

200

The opposite side to the right angle in a triangle 

What is hypotenuse

300

Either of the sides that create the right triangle

What is a leg

400

How to identify which side is the hypotenuse

What is finding the longest side? 

500

What proves that a triangle is a right triangle

What is the converse of the Pythagorean Theorem?

Square Roots

100

The square root of 49

What is 7

200

The square root of 64 

What is 8

300

The square root of 225

What is 15

400

The square root of 1

What is 1

500

The solution to 121 = c²

What is 11 (the square root of 121)

Is it a Right Triangle

100

5² + 12² = 16²

What is a NOT right triangle

200

A triangle with sides that are 6, 8, and 10

What is a right triangle

300

A triangle with sides 7, 9, and 11

What is NOT a right triangle 

400

Is 3-4-5 a Pythagorean triple?

What is YES

500

A triangle with sides 15, 36, and 39

What is a right triangle

Solve for the missing leg/hyp.

100

The length of the hypotenuse, c, when a = 3 and b = 4

What is 5

200

The length of side a if b = 5 and c = 13 

What is 12

300

The length of the hypotenuse, c, when a = 8 and b = 15

What is 17

400

The length of b if the hypotenuse is 20 and side a is 16 

What is 12

500

The missing side length of a right triangle when one side length = 15 and the hypotenuse = 25

What is 20