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

What does it mean for a triangle to be a right triangle?

Back

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

3.

FLASHCARD QUESTION

Front

Does the set of numbers 20, 25, 15 represent a right triangle?

Back

Yes, because 20² + 15² = 25² (400 + 225 = 625).

4.

FLASHCARD QUESTION

Front

Which set of sides would make a right triangle? 4,5,6 or 5,12,13?

Back

5,12,13. Because 5² + 12² = 13² (25 + 144 = 169).

5.

FLASHCARD QUESTION

Front

Find the length of the missing side if one side is 20 cm and the hypotenuse is 25 cm.

Back

The missing side is 15 cm, because 25² - 20² = 15² (625 - 400 = 225).

6.

FLASHCARD QUESTION

Front

If one side of a right triangle is 6 cm and the hypotenuse is 10 cm, what is the length of the other side?

Back

The other side is 8 cm, because 10² - 6² = 8² (100 - 36 = 64).

7.

FLASHCARD QUESTION

Front

What is the formula for the Pythagorean Theorem?

Back

c² = a² + b².

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