x y z are real numbers so that 20x^2+18y^2+5z^2-24xy+12yz+4xz = 0 a : b : c= x : y : z where a b c are integers and gcd |a|,|b|,|c| =1 find value of a^2+b^2+c^2

Plzz ! if you were constructing a triangular frame, and you had wood in the length of 4 inches, 4 inches, and 7 inches, would it make a triangle? would you be able to create a frame from these pieces of wood? yes or no? = explain your mathematical thinking/show your work: