In a right triangle with integer length sides, the hypotenuse has length 39 units. How many units is the length of the shorter leg?

tertre
Dec 28, 2017

#2**+2 **

Notice that one possible "Pythagorean Triple" right triangle is one with the sides 5 - 12 - 13

Any any multiple of these will also be a Pythagorean Triple...so....this implies that

5(3) - 12(3) - 13(3) =

15 - 36 - 39 will also be a Pythagorean Triple

So....the shorter leg = 15 units

CPhill
Dec 29, 2017