Pythagorean Theorem

Front

What is the Pythagorean Theorem?

Back

The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). It is expressed as: a² + b² = c².

Front

In a right triangle, which side is the hypotenuse?

Back

The hypotenuse is the longest side of a right triangle, opposite the right angle.

Front

If a triangle has sides of lengths 6, 6.7, and 3, which side is the hypotenuse?

Back

The hypotenuse is 6.7.

Front

True or False: Side c on a right triangle is ALWAYS the longest.

Back

True.

Front

What is the formula to find the length of the hypotenuse?

Back

The formula is c = √(a² + b²).

Front

If a = 9 and b = 40, what is c?

Back

c = 41.

Front

What is the perimeter of a triangle with legs of 3 cm and 4 cm?

Back

The perimeter is 12 cm.

Front

If a right triangle has legs of lengths 5 and 12, what is the length of the hypotenuse?

Back

The hypotenuse is 13 (5² + 12² = 13²).

Front

What does 'a² + b² = c²' represent?

Back

It represents the relationship between the sides of a right triangle, where a and b are the legs and c is the hypotenuse.

Front

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

Back

The other leg is 8 (10² - 6² = 8²).