Find the area of a rectangle if its diagonal is 3 √41 and one of its sides is 15.

To solve this example, let’s use the conditional variable “Y” equal to the second side of the rectangle.

Then, applying the Pythagorean theorem, we compose the following expression: Y ^ 2 + 15 x 15 = 3√41 x 3√41.

When we make the calculation, we will have Y ^ 2 + 225 = 369 or Y = √ (369 – 225) = √144 = 12.

Therefore, the area of the rectangle will be 12 x 15 = 180.

Answer: the area of the rectangle is 180.