Pythagorean Theorem

Front

What is the Pythagorean Theorem?

Back

The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). It can be expressed as: a² + b² = c².

Tags

CCSS.8.G.B.8

Front

What is the formula to find the length of the hypotenuse in a right triangle?

Back

The formula to find the length of the hypotenuse (c) is c = √(a² + b²).

Tags

CCSS.8.G.B.8

Front

What is the opposite of squaring a number?

Back

Square root.

Tags

CCSS.8.EE.A.2

Front

If one side of a right triangle is 5 cm and the other side is 12 cm, what is the length of the hypotenuse?

Back

The length of the hypotenuse is 13 cm.

Tags

CCSS.8.G.B.7

Front

Which equation can be used to solve for 'x' in a right triangle if one side is 15 and the hypotenuse is 21?

Back

21² – 15² = x².

Tags

CCSS.8.G.B.7

Front

True or False: The Pythagorean Theorem can only be used for right triangles.

Back

True.

Tags

CCSS.8.G.B.8

Front

What do you do with a² and b² to find c in a right triangle?

Back

You add a² and b² together.

Tags

CCSS.8.G.B.8

Front

If a = 3 and b = 4, what is c?

Back

c = 5, because 3² + 4² = 9 + 16 = 25, and √25 = 5.

Tags

CCSS.8.G.B.8

Front

True or False: You subtract the squares of the two shorter sides to find the hypotenuse.

Back

False. You add the squares of the two shorter sides.

Tags

CCSS.8.G.B.8

Front

What is the value of c if a = 6 and b = 8?

Back

c = 10, because 6² + 8² = 36 + 64 = 100, and √100 = 10.

Tags

CCSS.8.G.B.7