TRIPLE PYTHAGORAS

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Front

What are the sides of a right triangle called?

Back

The sides of a right triangle are called the 'legs' (the two shorter sides) and the 'hypotenuse' (the longest side).

Front

If one leg of a right triangle is 3 and the other leg is 4, what is the length of the hypotenuse?

Back

5

Front

If one leg of a right triangle is 8 and the other leg is 15, what is the length of the hypotenuse?

Back

17

Front

If one leg of a right triangle is 20 and the other leg is 21, what is the length of the hypotenuse?

Back

29

Front

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

Back

13

Front

What is a triple Pythagorean triplet?

Back

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

Front

What is the smallest Pythagorean triplet?

Back

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

Front

If one leg of a right triangle is 7, what are the other two sides in the Pythagorean triplet?

Back

24 and 25.

Front

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

Back

The relationship is defined by the Pythagorean theorem: a² + b² = c².