Pythagorean Theorem

Pythagorean Theorem

Assessment

Flashcard

Mathematics

8th Grade

Practice Problem

Hard

Created by

Wayground Content

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15 questions

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1.

FLASHCARD QUESTION

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 is expressed as c² = a² + b².

2.

FLASHCARD QUESTION

Front

Is the statement c² = a² - b² true or false?

Back

False. The correct formula is c² = a² + b².

3.

FLASHCARD QUESTION

Front

If one side of a right triangle is 15 inches and the hypotenuse is 20 inches, what is the length of the other side?

Back

Using the Pythagorean Theorem: 20² = 15² + b², so b = 20.

4.

FLASHCARD QUESTION

Front

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

Back

The formula is c = √(a² + b²).

5.

FLASHCARD QUESTION

Front

In a right triangle, if one side is 12 inches and the other side is 16 inches, what is the length of the hypotenuse?

Back

The hypotenuse is 20 inches.

6.

FLASHCARD QUESTION

Front

What does the term 'hypotenuse' refer to in a right triangle?

Back

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

7.

FLASHCARD QUESTION

Front

If a computer monitor has a diagonal of 27 inches and a height of 15 inches, how do you find the width?

Back

Use the Pythagorean Theorem: width = √(27² - 15²) = 22 inches.

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