Pythagorean Theorem - Is It A Right Triangle

Front

What is the Pythagorean Theorem?

Back

The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). It can be expressed as: a² + b² = c².

Front

What is a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90 degrees.

Front

How can you determine if a triangle is a right triangle using side lengths?

Back

To determine if a triangle is a right triangle using its side lengths, apply the Pythagorean Theorem: check if a² + b² = c², where c is the longest side.

Front

If the side lengths are 3, 4, and 5, do they form a right triangle?

Back

Yes, because 3² + 4² = 9 + 16 = 25, which equals 5².

Front

If the side lengths are 6, 8, and 10, do they form a right triangle?

Back

Yes, because 6² + 8² = 36 + 64 = 100, which equals 10².

Front

If the side lengths are 5, 12, and 13, do they form a right triangle?

Back

Yes, because 5² + 12² = 25 + 144 = 169, which equals 13².

Front

If the side lengths are 7, 24, and 25, do they form a right triangle?

Back

Yes, because 7² + 24² = 49 + 576 = 625, which equals 25².

Front

If the side lengths are 8, 15, and 17, do they form a right triangle?

Back

Yes, because 8² + 15² = 64 + 225 = 289, which equals 17².

Front

If the side lengths are 9, 12, and 15, do they form a right triangle?

Back

No, because 9² + 12² = 81 + 144 = 225, which does not equal 15².

Front

What is the longest side of a right triangle called?

Back

The longest side of a right triangle is called the hypotenuse.