Pythagorean Theorem

Pythagorean Theorem

Assessment

Flashcard

Mathematics

University

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 can be expressed as: a² + b² = c².

2.

FLASHCARD QUESTION

Front

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

Back

The formula to find the hypotenuse (c) of a right triangle is c = √(a² + b²), where a and b are the lengths of the other two sides.

3.

FLASHCARD QUESTION

Front

If one leg of a right triangle is 3 and the other leg is 4, what is the length of the hypotenuse?

Back

The hypotenuse is 5, calculated using the Pythagorean Theorem: c = √(3² + 4²) = √(9 + 16) = √25 = 5.

4.

FLASHCARD QUESTION

Front

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

Back

In a right triangle, the sum of the squares of the lengths of the two legs equals the square of the length of the hypotenuse.

5.

FLASHCARD QUESTION

Front

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

Back

The length of the other leg is 8, calculated using the formula: b = √(c² - a²) = √(10² - 6²) = √(100 - 36) = √64 = 8.

6.

FLASHCARD QUESTION

Front

What does it mean if a triangle does not satisfy the Pythagorean Theorem?

Back

If a triangle does not satisfy the Pythagorean Theorem (a² + b² ≠ c²), it is not a right triangle.

7.

FLASHCARD QUESTION

Front

What is the converse of the Pythagorean Theorem?

Back

The converse of the Pythagorean Theorem states that if a triangle has sides a, b, and c such that a² + b² = c², then the triangle is a right triangle.

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