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 (3, __, 5).

Back

4

Front

Identify the missing number in the Pythagorean Triple (8, __, 17).

Back

15

Front

Identify the missing number in the Pythagorean Triple (5, 12, __).

Back

13

Front

Identify the missing number in the Pythagorean Triple (8, 15, __).

Back

17

Front

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

Back

40

Front

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

Back

The hypotenuse can be found using the formula c = √(a² + b²), where c is the hypotenuse and a and b are the other two sides.

Front

What is the smallest Pythagorean Triple?

Back

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

Front

How can you verify if a set of numbers is a Pythagorean Triple?

Back

To verify, check if a² + b² = c² holds true for the given numbers.

Front

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

Back

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