Intro to 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 can be expressed as: c² = a² + b².

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

What is the formula to find the hypotenuse?

Back

To find the hypotenuse (c) of a right triangle, use the formula: c = √(a² + b²).

Front

What is the opposite of squaring a number?

Back

The opposite of squaring a number is finding the square root.

Front

What is the opposite of finding the square root of a number?

Back

The opposite of finding the square root of a number is squaring the number.

Front

In a right triangle, what are the two shorter sides called?

Back

The two shorter sides of a right triangle are called the legs.

Front

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

Back

Using the Pythagorean Theorem: c = √(3² + 4²) = √(9 + 16) = √25 = 5.

Front

What is a right triangle?

Back

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

Front

What does it mean to square a number?

Back

To square a number means to multiply the number by itself.

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.