Pythagorean Theorem and Their Converse

Front

What is the longest side of a right triangle called?

Back

Hypotenuse

Front

Which is the Pythagorean theorem?

Back

c² = a² + b²

Front

What type of triangle does the Pythagorean Theorem apply to?

Back

Right triangle

Front

If one leg of a right triangle is 3 and the other leg is 4, what is the length of the hypotenuse?

Back

5 (using 3² + 4² = 5²)

Front

What is the formula to find the length of a leg in a right triangle if the hypotenuse and one leg are known?

Back

a = √(c² - b²) or b = √(c² - a²)

Front

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

Back

8 (using 10² = 6² + b²)

Front

What is the converse of the Pythagorean Theorem?

Back

If a² + b² = c², 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.

Front

What is the distance formula derived from the Pythagorean Theorem?

Back

d = √((x2 - x1)² + (y2 - y1)²)

Front

If a right triangle has legs of lengths 8 and 15, what is the length of the hypotenuse?

Back

17 (using 8² + 15² = 17²)