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 formula to find the length of the hypotenuse?

Back

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

Front

How do you find a missing side of a right triangle?

Back

To find a missing side (b) when you know the hypotenuse (c) and one side (a), use the formula: b = √(c² - a²).

Front

What is the opposite of squaring a number?

Back

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

Front

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

Back

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

Front

What is the distance between two points (x1, y1) and (x2, y2) in a coordinate plane?

Back

The distance can be found using the formula: d = √((x2 - x1)² + (y2 - y1)²).

Front

In a right triangle, if the hypotenuse is 10 and one side is 6, what is the length of the other side?

Back

Using the formula: b = √(10² - 6²) = √(100 - 36) = √64 = 8.

Front

What does 'c' represent in the Pythagorean Theorem?

Back

In the Pythagorean Theorem, 'c' represents the length of the hypotenuse, which is the side opposite the right angle.

Front

What does 'a' and 'b' represent in the Pythagorean Theorem?

Back

In the Pythagorean Theorem, 'a' and 'b' represent the lengths of the two legs (the sides that form the right angle) of the right triangle.

Front

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

Back

True.