A right triangle has a side of 95 meters and another side being 57 meters. what is the length of the missing side using pythagorean theorem
To find the length of the missing side, we can use the Pythagorean theorem, which 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.
Using the given side lengths, we can let the missing side be represented by "x".
Therefore, the Pythagorean theorem can be written as:
57^2 + x^2 = 95^2
Simplifying the equation:
3249 + x^2 = 9025
Subtracting 3249 from both sides of the equation:
x^2 = 9025 - 3249
x^2 = 5776
Taking the square root of both sides:
x = √5776
x ≈ 76
Therefore, the length of the missing side is approximately 76 meters.