Pythagorean Theorem Converse

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 the Converse of the Pythagorean Theorem?

Back

The Converse of the Pythagorean Theorem states that if a triangle has side lengths a, b, and c, and if a² + b² = c², then the triangle is a right triangle.

Front

If the sides of a triangle are 9, 12, and 15, does it form a right triangle?

Back

Yes, because 9² + 12² = 15² (81 + 144 = 225).

Front

If the sides of a triangle are 15, 30, and 34, does it form a right triangle?

Back

No, because 15² + 30² ≠ 34² (225 + 900 ≠ 1156).

Front

If the sides of a triangle are 13, 80, and 81, does it form a right triangle?

Back

No, because 13² + 80² ≠ 81² (169 + 6400 ≠ 6561).

Front

If the sides of a triangle are 7, 24, and 25, does it form a right triangle?

Back

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

Front

If the sides of a triangle are 6 in, 8 in, and 10 in, does it form a right triangle?

Back

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

Front

What is a right triangle?

Back

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

Front

What are the legs of a right triangle?

Back

The legs of a right triangle are the two sides that form the right angle.

Front

What is the hypotenuse of a right triangle?

Back

The hypotenuse is the longest side of a right triangle, opposite the right angle.