Pythagorean Review

Front

Does the set of numbers represent a right triangle? 20, 25, 15

Back

Yes, because 20² + 15² = 25² (400 + 225 = 625).

Front

The Pythagorean Theorem states that c² = a² + b². True or False?

Back

True. The correct formula is c² = a² + b², where c is the hypotenuse.

Front

Find the length of the missing side if one leg is 12 cm and the hypotenuse is 13 cm.

Back

5 cm, because 13² - 12² = 25 (hypotenuse² - leg² = other leg²).

Front

In a right triangle, __________ is ALWAYS the longest side.

Back

a hypotenuse.

Front

Find h if one leg is 9 cm and the other leg is 12 cm.

Back

15 cm, because 9² + 12² = h² (81 + 144 = 225, h = 15).

Front

What is the Pythagorean Theorem?

Back

The Pythagorean Theorem is a formula used to find the lengths of sides in a right triangle: c² = a² + b².

Front

If a right triangle has legs of lengths 6 cm and 8 cm, what is the length of the hypotenuse?

Back

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

Front

What do you call the side opposite the right angle in a right triangle?

Back

The hypotenuse.

Front

If the hypotenuse is 25 cm and one leg is 20 cm, what is the length of the other leg?

Back

15 cm, because 25² - 20² = 15² (625 - 400 = 225).

Front

True or False: The Pythagorean Theorem can only be used for right triangles.

Back

True.