Pythagorean Triples

Front

What is a Pythagorean Triple?

Back

A set of three positive integers (a, b, c) such that a² + b² = c².

Front

Identify a Pythagorean Triple: 3, 8, 10; 7, 24, 25; 8, 15, 16; 5, 12, 14.

Back

7, 24, 25

Front

Identify a set that is NOT a Pythagorean Triple: 17, 24, 25; 7, 24, 25; 14, 48, 50; 21, 72, 75.

Back

17, 24, 25

Front

Identify a Pythagorean Triple: 3, 8, 11; 7, 14, 15; 8, 15, 17; 4.5, 12, 13.

Back

8, 15, 17

Front

Identify a set that is NOT a Pythagorean Triple: 3, 4, 5; 6, 8, 10; 12, 14, 16; 9, 12, 15.

Back

12, 14, 16

Front

Identify a Pythagorean Triple: 1, 1, 1; 7, 14, 16; 12, 13, 16; 5, 12, 13.

Back

5, 12, 13

Front

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

Back

a² + b² = c², where c is the largest number.

Front

List the first three Pythagorean Triples.

Back

(3, 4, 5), (5, 12, 13), (7, 24, 25).

Front

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

Back

The square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Front

Can negative numbers be part of a Pythagorean Triple?

Back

No, Pythagorean Triples consist of positive integers only.