Converse of Pythagorean Theorem

Front

What is the Converse of the Pythagorean Theorem?

Back

If in a triangle, the square of the length of one side is equal to the sum of the squares of the lengths of the other two sides, then the triangle is a right triangle.

Front

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

Back

Yes, because 5² + 12² = 13² (25 + 144 = 169).

Front

What is the formula to check if a triangle is a right triangle using the Converse of the Pythagorean Theorem?

Back

c² = a² + b², where c is the longest side.

Front

If a triangle has sides 8, 15, and 17, which side is the hypotenuse?

Back

17, because it is the longest side.

Front

Do the lengths 7, 24, and 25 form a right triangle?

Back

Yes, because 7² + 24² = 25² (49 + 576 = 625).

Front

What is a right triangle?

Back

A triangle where one angle measures 90 degrees.

Front

If a triangle has sides 6, 8, and 10, is it a right triangle?

Back

Yes, because 6² + 8² = 10² (36 + 64 = 100).

Front

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

Back

The square of the hypotenuse is equal to the sum of the squares of the other two sides.

Front

If a triangle has sides 9, 12, and 14, does it form a right triangle?

Back

No, because 9² + 12² ≠ 14² (81 + 144 ≠ 196).

Front

What is the hypotenuse in a right triangle?

Back

The longest side opposite the right angle.