Pythagorean Triples

Front

What is a Pythagorean Triple?

Back

A Pythagorean Triple consists of three positive integers a, b, and c, such that a² + b² = c².

Front

Give an example of a Pythagorean Triple.

Back

(3, 4, 5) is a classic example of a Pythagorean Triple.

Front

Which of the following is NOT a Pythagorean Triple: (15, 36, 39), (10, 24, 27), (5, 12, 13), (10, 24, 26)?

Back

(10, 24, 27) is NOT a Pythagorean Triple.

Front

Which of the following is a Pythagorean Triple: (3, 8, 10), (7, 24, 25), (8, 15, 16), (5, 12, 14)?

Back

(7, 24, 25) is a Pythagorean Triple.

Front

What is the formula to check if three numbers form a Pythagorean Triple?

Back

To check if a, b, and c form a Pythagorean Triple, verify if a² + b² = c².

Front

Identify the Pythagorean Triple among the following: (8, 15, 17), (4, 7, 8), (16, 30, 34), (24, 45, 51).

Back

(8, 15, 17) is a Pythagorean Triple.

Front

What is the smallest Pythagorean Triple?

Back

The smallest Pythagorean Triple is (3, 4, 5).

Front

If a = 5 and b = 12, what is c in the Pythagorean Triple?

Back

c = √(5² + 12²) = √(25 + 144) = √169 = 13.

Front

Which of the following sets is a Pythagorean Triple: (6, 8, 10), (12, 14, 16), (9, 12, 15), (3, 4, 5)?

Back

(6, 8, 10) and (3, 4, 5) are Pythagorean Triples.

Front

What is the relationship between the sides of a right triangle and Pythagorean Triples?

Back

Pythagorean Triples represent the lengths of the sides of a right triangle, where the largest number is the hypotenuse.