Pythagoras 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 can be expressed as: a² + b² = c².

Front

What are the legs of a right triangle?

Back

The legs of a right triangle are the two sides that form the right angle.

Front

What is the hypotenuse in a right triangle?

Back

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

Front

How can you find the length of a leg in a right triangle?

Back

To find the length of a leg, you can rearrange the Pythagorean Theorem: c² - a² = b² or c² - b² = a².

Front

Which set of sides forms a right triangle? 4,5,6; 8,10,12; 5,12,13; 5,10,12?

Back

The set of sides that forms a right triangle is 5, 12, 13.

Front

If a right triangle has legs of length 3 and 4, what is the length of the hypotenuse?

Back

Using the Pythagorean Theorem: 3² + 4² = c²; 9 + 16 = c²; c² = 25; c = 5.

Front

What is the relationship between the sides of a right triangle?

Back

In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Front

If the hypotenuse is 10 and one leg is 6, what is the length of the other leg?

Back

Using the Pythagorean Theorem: 10² - 6² = b²; 100 - 36 = b²; b² = 64; b = 8.

Front

What is the formula to calculate the hypotenuse?

Back

The formula to calculate the hypotenuse is c = √(a² + b²).

Front

What is a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90 degrees.