How to find the leg if the height and hypotenuse are known, according to the Pythagorean theorem?

To begin with, we will designate the hypotenuse with the letter c, the height – h, and the leg – a.

According to the Pythagorean theorem: the square of the hypotenuse is equal to the sum of the squares of the legs. To find a leg in a square, you need to subtract the square of the other leg, that is, the square of the height, from the square of the hypotenuse, and then we extract the root from the resulting value and we get the value of the leg.

Let’s write it like this:

a ^ 2 = √c ^ 2 – h ^ 2 (the root sign applies to the whole expression c ^ 2 – h ^ 2).