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, located opposite the right angle.

Front

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

Back

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

Front

What is the square root of 16?

Back

4 (The square root of a number is a value that, when multiplied by itself, gives the original number).

Front

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

Back

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

Front

What is the formula to find the area of a right triangle?

Back

Area = 1/2 * base * height.

Front

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

Back

13 (Using the Pythagorean Theorem: 5² + 12² = 25 + 144 = 169; √169 = 13).

Front

What does it mean to square a number?

Back

To square a number means to multiply the number by itself (e.g., 3² = 3 * 3 = 9).

Front

What is the opposite of squaring a number?

Back

Square root (The square root of a number is a value that, when squared, gives the original number).

Front

In a right triangle, if the sides are 8, 15, and 17, which is the hypotenuse?

Back

17 (The hypotenuse is always the longest side in a right triangle).