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

List an example of a Pythagorean Triple.

Back

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

Front

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

Back

c = √(a² + b²), where c is the hypotenuse and a and b are the other two sides.

Front

If one side of a right triangle is 5 and the other is 12, what is the hypotenuse?

Back

13.

Front

Does the set of numbers 8, 15, 17 represent a Pythagorean Triple?

Back

Yes.

Front

What is the hypotenuse if the two sides are 9 and 12?

Back

15.

Front

Does the set of numbers 7, 24, 25 represent a Pythagorean Triple?

Back

Yes.

Front

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

Back

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

Front

If a triangle has sides of lengths 6, 8, and 10, is it a right triangle?

Back

Yes, it is a right triangle because 6² + 8² = 10².

Front

Does the set of numbers 9, 12, 15 represent a Pythagorean Triple?

Back

Yes.