Can somebody explain the prothegreom theorem too me in full detail thanks!

If someone could explain the math prothegreom theorem for me that would be great ! More detail the better understanding the better (:

(its Pythagorean by the way)
so each triangle has 3 sides right?
well we use the Pythagorean theorem to find the measurement of a leg or hypotenuse (the hypotenuse is the longest side to a triangle) if its missing in a right Triangle(a triangle with a 90 degree angle)
so lets say we have a triangle with legs (the short sides of a triangle) 3 and 4 inches long.
the Pythagorean theorem says A²+B²=C²
(A= one leg, B= another leg, C= hypotenuse )
3²+4²=c²
9+16=c²
25=c²
5=c, the hypotenuse is 5 inches long

we can also use it to find a leg, in case we know the hypotenuse and not one of the legs
lets say the leg is 3 and the hypotenuse of 5
A²+B²=C²
3²+B²=5²
9+B²=25
B²=16
B=4, the missing leg is 4

hope this helps :D

a^2+b^2=c^2

All this means is that if you take the longest side of a triangle and square it, it will equal the other two sides squared and added.

This works the other way around too, the two smallest sides squared and added will equal the longest.

The only things you need to work this equation are two lengths of the triangle, and you need to know which side is the longest (called the hypotenuse). The hypotenuse is always "c", the other two sides can be "a" or "b", it doesnt matter which.

So once you have all those things, you just plug in numbers and solve like a regular old algebra equation.

if you know two sides of a right triangle, you can figure out the third side

a and b are the legs
c is the hypotenuse
a^2 + b^2 = c^2
√(a^2 + b^2) = c

a^2 + b^2 = c^2
a^2 = c^2 - b^2
a = √(c^2 - b^2)

a^2 + b^2 = c^2
b^2 = c^2 - a^2
b = √(c^2 - a^2)