關於中五數學題目

let a = 2k,

then b = 3k, c = 4k

a^2 - b^2 + c^2 = 44

(2k)^2 - (3k)^2 + (4k)^2 = 44

11k^2 = 44

k^2 = 4

k = 2 or -2

so,
when k = 2,

a = 4, b = 6, c = 8

when k = -2,

a = -4, b = -6, c = -8