Question Number 180939 by mr W last updated on 19/Nov/22
Commented by mr W last updated on 19/Nov/22
$${next}\:{step}: \\ $$$${find}\:{the}\:{areas}\:{of}\:{the}\:{yellow}\:{squares} \\ $$$${in}\:{terms}\:{of}\:{triangle}'{s}\:{sides}\:{a},{b},{c}. \\ $$
Commented by mr W last updated on 19/Nov/22
$${what}\:{we}\:{have}\:{got}\:{till}\:{now}: \\ $$$${corresponding}\:{to}\:{A}\:{and}\:{a} \\ $$$${area}\:{of}\:{red}\:{square}:\:\:\:\:\:\:\:\:{a}^{\mathrm{2}} \\ $$$${area}\:{of}\:{blue}\:{square}:\:\:\:\:\:\:\mathrm{2}\left({b}^{\mathrm{2}} +{c}^{\mathrm{2}} \right)−{a}^{\mathrm{2}} \\ $$$${area}\:{of}\:{green}\:{square}:\:\:\:\mathrm{16}{a}^{\mathrm{2}} \\ $$