Pythagorean Theorem converse

Front

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

Back

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

Front

What are the 2 shorter sides of a right triangle called?

Back

Legs.

Front

Is this triangle a right triangle? (Assuming sides are 9, 12, 15)

Back

Yes.

Front

If three sides of a right triangle are 9, 40, and 41, which side is the hypotenuse?

Back

41.

Front

The Pythagorean Theorem ONLY works on which triangle?

Back

Right triangle.

Front

What is the Pythagorean Theorem formula?

Back

a² + b² = c², where c is the hypotenuse.

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 hypotenuse in a right triangle?

Back

The longest side opposite the right angle.

Front

Can a triangle with sides 7, 24, and 25 be a right triangle?

Back

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

Front

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

Back

The sum of the squares of the two shorter sides equals the square of the longest side.