Answer:
15 36 39
Step-by-step explanation:
Pythagorean formula = a^2+b^2=c^2
(x+a)^2 =
x^2+2ax+a^2
a^2= (x - 1)^2 = x^2 -2x + 1
b^2 = (x + 20)^2 = x^2 + 40x + 400
c^2 = (x + 23)^2= x^2 +46x +529
a^2+b^2=c^2
(x^2 -2x + 1) + (x^2 + 40x + 400) = x^2 +46x +529
x^2 -8x -128 = 0
(x-16) (x+8) = 0
x = 16 x= -8
you cant have a negative amount of a triangle side so
x = 16
and so
the triangle sides are
15 36 39
