Pythagorean Triples

Pythagorean Triples

Assessment

Flashcard

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Wayground Content

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a Pythagorean Triple?

Back

A set of three positive integers a, b, and c, such that a² + b² = c². For example, (3, 4, 5) is a Pythagorean Triple.

2.

FLASHCARD QUESTION

Front

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

Back

The hypotenuse can be found using the formula c = √(a² + b²), where c is the hypotenuse and a and b are the other two sides.

3.

FLASHCARD QUESTION

Front

If one side of a right triangle is 6 and the other is 8, what is the hypotenuse?

Back

10

4.

FLASHCARD QUESTION

Front

What are the first three Pythagorean Triples?

Back

(3, 4, 5), (5, 12, 13), (8, 15, 17).

5.

FLASHCARD QUESTION

Front

How can you determine if a set of numbers is a Pythagorean Triple?

Back

Check if a² + b² = c² holds true for the numbers.

6.

FLASHCARD QUESTION

Front

Is the set of numbers 15, 20, 25 a Pythagorean Triple?

Back

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

7.

FLASHCARD QUESTION

Front

What is the value of x if the sides of a right triangle are 6, 8, and x?

Back

10

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