A[[ly the Pythagorean Theorem to find the unknown side length in the given triangle,
To apply the Pythagorean Theorem, we need to have a right triangle, which is a triangle with one angle measuring 90 degrees. The theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
Let's consider an example where we have a right triangle with side lengths 3 and 4, and we want to find the length of the hypotenuse.
Using the Pythagorean Theorem, we know that:
hypotenuse^2 = side1^2 + side2^2
Therefore, in this case, we have:
hypotenuse^2 = 3^2 + 4^2
hypotenuse^2 = 9 + 16
hypotenuse^2 = 25
Taking the square root of both sides, we find:
hypotenuse = √25
hypotenuse = 5
So, in this example, the unknown side (hypotenuse) has a length of 5.