find the length of the bottom side. there is a right triangle. The height is 16. The hypotenuse is 27. find x, the bottom side

Answer 1

To find the length of the bottom side, we can use the Pythagorean theorem.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides.

In this case, the hypotenuse is 27 and the height is 16. Let's denote the length of the bottom side as x.

We can set up the equation as:

x^2 + 16^2 = 27^2

Simplifying:

x^2 + 256 = 729

Subtracting 256 from both sides:

x^2 = 473

Taking the square root of both sides:

x = √473

So, the length of the bottom side, x, is approximately 21.753.