Pythagorean Theorem Test 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). It can be expressed as: a² + b² = c².

Tags

CCSS.8.G.B.8

Front

What is a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90 degrees.

Tags

CCSS.4.G.A.2

Front

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

Back

Yes, it is a right triangle because 7² + 24² = 25² (49 + 576 = 625).

Tags

CCSS.8.G.B.8

Front

How do you find the length of the missing side in a right triangle?

Back

Use the Pythagorean Theorem: a² + b² = c². Rearrange the formula to find the missing side.

Tags

CCSS.8.G.B.7

Front

What is the hypotenuse in a right triangle?

Back

The hypotenuse is the longest side of a right triangle, opposite the right angle.

Front

Calculate the length of the hypotenuse if the other two sides are 6 and 8.

Back

Using the Pythagorean Theorem: c = √(6² + 8²) = √(36 + 64) = √100 = 10.

Tags

CCSS.8.G.B.8

Front

What are the side lengths of a 3-4-5 triangle?

Back

The side lengths are 3, 4, and 5, which form a right triangle.

Tags

CCSS.8.G.B.8

Front

What is the distance formula derived from the Pythagorean Theorem?

Back

The distance between two points (x1, y1) and (x2, y2) is given by: d = √((x2 - x1)² + (y2 - y1)²).

Tags

CCSS.HSG.GPE.B.7

Front

If one side of a right triangle is 9 and the hypotenuse is 15, what is the length of the other side?

Back

Using the Pythagorean Theorem: b = √(15² - 9²) = √(225 - 81) = √144 = 12.

Tags

CCSS.8.G.B.7

Front

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

Back

In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Tags

CCSS.8.G.B.8