Is It A RIGHT Triangle?

Front

What is a right triangle?

Back

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

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. It can be expressed as: a² + b² = c².

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, check if the square of the longest side (hypotenuse) is equal to the sum of the squares of the other two sides.

Front

If a triangle has sides of lengths 3, 4, and 5, is it a right triangle?

Back

Yes, because 3² + 4² = 9 + 16 = 25, which is equal to 5².

Front

If a triangle has sides of lengths 5, 12, and 13, is it a right triangle?

Back

Yes, because 5² + 12² = 25 + 144 = 169, which is equal to 13².

Front

If a triangle has sides of lengths 8, 15, and 17, is it a right triangle?

Back

Yes, because 8² + 15² = 64 + 225 = 289, which is equal to 17².

Front

What is the sum of the angles in any triangle?

Back

The sum of the angles in any triangle is always 180 degrees.

Front

Can a triangle with sides 7, 10, and 13 be a right triangle?

Back

No, because 7² + 10² = 49 + 100 = 149, which is not equal to 13².

Front

Can a triangle with sides 39, 52, and 61 be a right triangle?

Back

No, because 39² + 52² = 1521 + 2704 = 4225, which is not equal to 61².

Front

Can a triangle with sides 15, 17, and 8 be a right triangle?

Back

Yes, because 8² + 15² = 64 + 225 = 289, which is equal to 17².