Pythagorean Theorem Converse Practice 8.7c

Front

What is the longest side of a right triangle called?

Back

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

Front

Is side 'a' always the longest side in a right triangle?

Back

No, side 'a' is not always the longest side in a right triangle; the hypotenuse is the longest side.

Front

Given sides a = 2.1, b = 7.2, and c = 7.5, does this form a right triangle?

Back

Yes, these side lengths form a right triangle.

Front

What is the Pythagorean theorem formula?

Back

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b): c² = a² + b².

Front

Which set of side lengths does not form a right triangle: 14, 15, 29 or 9, 12, 15?

Back

The set of side lengths 14, 15, 29 does not form a right triangle.

Front

Do the segment lengths 9, 12, and 15 form a right triangle?

Back

Yes, the segment lengths 9, 12, and 15 do form a right triangle.

Front

What is the relationship between the sides of a right triangle according to the Pythagorean theorem?

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.

Front

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

Back

Yes, a triangle with sides of lengths 5, 12, and 13 is a right triangle.

Front

What is the converse of the Pythagorean theorem?

Back

The converse of the Pythagorean theorem states that if the square of the length of one side of a triangle is equal to the sum of the squares of the lengths of the other two sides, then the triangle is a right triangle.

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 equals the sum of the squares of the other two sides.