Answer:
Certainly! I'd be happy to help you understand how to solve the Pythagorean theorem.
The Pythagorean theorem is a fundamental principle in geometry that relates to right-angled triangles. It states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
Here's how you can solve for any missing side of a right triangle using the Pythagorean theorem:
1. Identify the sides of the triangle: Label the sides as a, b, and c, where 'c' is the hypotenuse.
2. Write down the Pythagorean theorem: a² + b² = c²
3. If you need to find the length of one side (let's say 'c'), plug the known values of the other two sides into the formula.
4. Square the lengths of sides 'a' and 'b', add them together, and then take the square root of the sum to find the length of side 'c'.
For example, if sides 'a' and 'b' are 3 and 4 units respectively, and you need to find the length of the hypotenuse 'c', you would do the following:
a = 3, b = 4
a² + b² = c²
3² + 4² = c²
9 + 16 = c²
25 = c²
c = √25
c = 5
