Pythagorean Theorem Review

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). Formula: a² + b² = c².

Tags

CCSS.8.G.B.8

Front

What type of triangle does the Pythagorean Theorem apply to?

Back

The Pythagorean Theorem ONLY works on right triangles.

Tags

CCSS.8.G.B.8

Front

If a triangle has sides of lengths 6, 8, and 10, does it form a right triangle?

Back

Yes, because 6² + 8² = 36 + 64 = 100 = 10².

Tags

CCSS.8.G.B.8

Front

What is the square root of 144?

Back

12

Tags

CCSS.8.EE.A.2

Front

How do you find the length of the diagonal of a rectangular prism?

Back

Use the formula: d = √(l² + w² + h²), where l is length, w is width, and h is height.

Tags

CCSS.7.G.B.6

Front

What is the length of the diagonal of a rectangular prism with dimensions 30 in., 14 in., and 40 in.?

Back

52 in.

Tags

CCSS.8.G.B.7

Front

What is the opposite operation of squaring a number?

Back

The opposite of squaring a number is taking the square root.

Tags

CCSS.8.EE.A.2

Front

Can a triangle with sides of lengths 5, 12, and 13 be classified as a right triangle?

Back

Yes, because 5² + 12² = 25 + 144 = 169 = 13².

Tags

CCSS.8.G.B.8

Front

What is the relationship between the sides of a right triangle?

Back

In a right triangle, the sum of the squares of the two shorter sides equals the square of the longest side (hypotenuse).

Tags

CCSS.8.G.B.8

Front

If a triangle has sides of lengths 7, 24, and 25, does it form a right triangle?

Back

Yes, because 7² + 24² = 49 + 576 = 625 = 25².

Tags

CCSS.8.G.B.8