Independent Practice: Pythagorean Triples

Front

What is a Pythagorean Triple?

Back

A set of three positive integers a, b, and c that satisfy the equation a² + b² = c².

Front

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

Back

5, 12, 13.

Front

Does the set of numbers 10, 24, 26 represent a Pythagorean Triple?

Back

Yes.

Front

Identify a Pythagorean Triple: 4, 4, 8; 6, 8, 10; 1, 2, 3; 10, 15, 25.

Back

6, 8, 10.

Front

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

Back

12, 14, 16.

Front

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

Back

Yes.

Front

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

Back

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

Front

Provide an example of a Pythagorean Triple.

Back

3, 4, 5.

Front

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

Back

The lengths of the sides of a right triangle can be expressed as Pythagorean Triples.

Front

If a = 8 and b = 15, what is c in the Pythagorean Triple?

Back

c = 17, since 8² + 15² = 17².