Pythagorean Theorem (Finding the Legs)

Front

The longest side of a right triangle is called the...

Back

hypotenuse

Front

Find the missing side: If one leg is 12 and the other leg is 16, what is the hypotenuse?

Back

20 (using the Pythagorean theorem: a² + b² = c²)

Front

Find the missing side: If the hypotenuse is 50 and one leg is 30, what is the other leg?

Back

40 (using the Pythagorean theorem: c² - a² = b²)

Front

Find the missing side: If one leg is 24 and the hypotenuse is 26, what is the other leg?

Back

10 (using the Pythagorean theorem: c² - a² = b²)

Front

The Pythagorean theorem states that...

Back

In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides (a² + b² = c²).

Front

If a right triangle has legs of lengths 9 and 12, what is the length of the hypotenuse?

Back

15 (using the Pythagorean theorem: 9² + 12² = 15²)

Front

What is the formula for the Pythagorean theorem?

Back

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

Front

Find the missing side: If the hypotenuse is 13 and one leg is 5, what is the other leg?

Back

12 (using the Pythagorean theorem: c² - a² = b²)

Front

In a right triangle, if one leg is 7 and the hypotenuse is 25, what is the length of the other leg?

Back

24 (using the Pythagorean theorem: c² - a² = b²)

Front

If the legs of a right triangle are equal, what is the relationship between the legs and the hypotenuse?

Back

If the legs are of length 'a', then the hypotenuse is a√2.