pythagorean theorem

pythagorean theorem

Assessment

Flashcard

Mathematics

8th Grade

Hard

CCSS
8.G.B.8, 8.G.B.7

Standards-aligned

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 can be expressed as: a² + b² = c².

Tags

CCSS.8.G.B.8

2.

FLASHCARD QUESTION

Front

What is the longest side of a right triangle called?

Back

Hypotenuse.

3.

FLASHCARD QUESTION

Front

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

Back

Using the Pythagorean Theorem: c² = 15² + 20²; c² = 225 + 400; c² = 625; c = 25.

Tags

CCSS.8.G.B.7

4.

FLASHCARD QUESTION

Front

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

Back

Use the Pythagorean Theorem: a² + b² = c², where a and b are the lengths of the legs and c is the length of the hypotenuse.

Tags

CCSS.8.G.B.7

5.

FLASHCARD QUESTION

Front

What is the formula to find the hypotenuse if the legs are known?

Back

c = √(a² + b²).

Tags

CCSS.8.G.B.8

6.

FLASHCARD QUESTION

Front

If a right triangle has legs of lengths 6 and 8, what is the length of the hypotenuse?

Back

c = √(6² + 8²) = √(36 + 64) = √100 = 10.

Tags

CCSS.8.G.B.7

7.

FLASHCARD QUESTION

Front

What is the relationship between the sides of a 3-4-5 triangle?

Back

In a 3-4-5 triangle, the lengths of the sides satisfy the Pythagorean Theorem: 3² + 4² = 5².

Tags

CCSS.8.G.B.8

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