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. They represent the lengths of the sides of a right triangle.

Front

Identify the missing number in the Pythagorean Triple (9, __, 41).

Back

40

Front

Identify the missing number in the Pythagorean Triple (7, 24, __).

Back

25

Front

Identify the missing number in the Pythagorean Triple (__, 12, 13).

Back

5

Front

Identify the missing number in the Pythagorean Triple (9, 40, __).

Back

41

Front

Identify the missing number in the Pythagorean Triple (7, __, 25).

Back

24

Front

What is the formula to find a Pythagorean Triple?

Back

The formula is a² + b² = c², where c is the hypotenuse.

Front

Give an example of a Pythagorean Triple.

Back

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

Front

What is the smallest Pythagorean Triple?

Back

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

Front

How can you generate Pythagorean Triples using two integers m and n?

Back

You can generate Pythagorean Triples using the formulas: a = m² - n², b = 2mn, c = m² + n², where m > n > 0.