Pythagorean Triples

Front

What is a Pythagorean Triple?

Back

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

Front

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

Back

Yes, because 15² + 20² = 25².

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 6 and the other is 8, what is the hypotenuse?

Back

10, because 6² + 8² = 10².

Front

Determine if the set of numbers 18, 73, 75 are Pythagorean Triples.

Back

No, because 18² + 73² ≠ 75².

Front

What is the value of c if a = 7 and b = 24?

Back

25, because 7² + 24² = 25².

Front

Find the value of x in the equation 9² + x² = 15².

Back

12, because 9² + 12² = 15².

Front

What are the first three Pythagorean Triples?

Back

(3, 4, 5), (5, 12, 13), (8, 15, 17).

Front

If a triangle has sides of length 5 and 12, what is the length of the hypotenuse?

Back

13, because 5² + 12² = 13².

Front

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

Back

In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.