Please help! Show work as welll pleaseeeee

Answer:
[tex] {x}^{2} + {8}^{2} = {y}^{2} ...(1) \\ {x}^{2} + {23}^{2} = {z}^{2} ...(2) \\ {y}^{2} + {z}^{2} = {(23 + 8)}^{2} \\ {y}^{2} + {z}^{2} = {(31)}^{2} ...(3) [/tex]
You should be able to solve this simultaneously...to find x,y and z.