What are some important geometry formulas I should know?

What are some important geometry formulas I should know?

Some key geometry formulas include the area of a triangle (1/2 * base * height), the Pythagorean theorem (a² + b² = c²), and the circumference of a circle (2 * π * r). Would you like to know more about any specific formula?

Can you explain the Pythagorean theorem?

Sure! 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). So, it's expressed as a² + b² = c².

How do I use it to find the length of a side?

To find the length of a side, rearrange the formula. For example, if you know the lengths of a and b, you can find c by calculating c = √(a² + b²). If you know c and one side, you can find the other side using a = √(c² - b²).

Can you give me an example?

Of course! If one side (a) is 3 and the other side (b) is 4, you can find the hypotenuse (c) like this: c = √(3² + 4²) = √(9 + 16) = √25 = 5. So, the hypotenuse is 5.