Pythagorean Theorem & Converse

Front

What is the longest side of a right triangle called?

Back

Hypotenuse

Front

What is the formula for Pythagorean theorem?

Back

a² + b² = c²

Front

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

Back

Yes, it is a right triangle.

Front

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

Back

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

Front

If a = 5 and b = 12, what is c in a right triangle?

Back

c = 13 (5² + 12² = 13²).

Front

What is the converse of the Pythagorean theorem?

Back

If a² + b² = c², then the triangle is a right triangle.

Front

In a right triangle, if one leg is 6 and the hypotenuse is 10, what is the length of the other leg?

Back

The other leg is 8 (6² + b² = 10²).

Front

What are the three sides of a right triangle called?

Back

Leg A, Leg B, and Hypotenuse.

Front

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

Back

17 is the hypotenuse.

Front

What is the distance formula derived from the Pythagorean theorem?

Back

Distance = √((x2 - x1)² + (y2 - y1)²).