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Solve-a-2-c-2-196-i-b-2-c-a-2-169-ii-c-2-b-c-2-225-iii-




Question Number 103736 by I want to learn more last updated on 17/Jul/20
Solve:      a^2   +  c^2   =   196      ... (i)                    b^2   +  (c  −  a)^2   =  169     ... (ii)                    c^2   +  (b  −  c)^2   =  225     ... (iii)
$$\mathrm{Solve}:\:\:\:\:\:\:\mathrm{a}^{\mathrm{2}} \:\:+\:\:\mathrm{c}^{\mathrm{2}} \:\:=\:\:\:\mathrm{196}\:\:\:\:\:\:…\:\left(\mathrm{i}\right) \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{b}^{\mathrm{2}} \:\:+\:\:\left(\mathrm{c}\:\:−\:\:\mathrm{a}\right)^{\mathrm{2}} \:\:=\:\:\mathrm{169}\:\:\:\:\:…\:\left(\mathrm{ii}\right) \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{c}^{\mathrm{2}} \:\:+\:\:\left(\mathrm{b}\:\:−\:\:\mathrm{c}\right)^{\mathrm{2}} \:\:=\:\:\mathrm{225}\:\:\:\:\:…\:\left(\mathrm{iii}\right) \\ $$

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