Square both sides of the Pythagorean equation so that you may remove the root sign from the side with the summation. The equation will now be in the form:
h2 = a2 + b2.
Break down further the equation h2 = a2 + b2 to its components to remove the square signs completely. The equation winds up in this form:
h.h = a.a + b.b
with the dots between each symbol representing multiplication. You can also express these equations in the forms:
hh = aa + bb or h*h = a*a + b*b
The equation in this form is an easier version of the Pythagorean theorem that saves on the hustle of using roots and squares.
Jumble about the components in the equation making each subject of the formula in each instance. You may choose to make the height subject of the formula and, in a similar fashion, you may do the same for the base of the triangle. The formulas with the height and the base components as subjects of the formula are as follows respectively:
aa = hh -- bb
and
bb = hh -- aa
You may use the three formulas to solve for the hypotenuse, height and base of the triangle if given the values of two of the sides.
Find the root of the right-hand side of the equation after summing or subtracting the components depending on the equation you are using to obtain the value of the unknown side represented on the left-hand side of the equation. Otherwise, you would end up with the square of the value of the unknown side.