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Question-207426




Question Number 207426 by mr W last updated on 14/May/24
Answered by A5T last updated on 14/May/24
Commented by A5T last updated on 14/May/24
a^2 +d^2 =2022^2 ...(i)  a^2 +c^2 =2023^2 ...(ii)  b^2 +c^2 =2024^2 ...(iii)  (iii)−(ii)+(i): b^2 +d^2 =2024^2 −2023^2 +2022^2 =?^2   ⇒?=(√(4092531))
$${a}^{\mathrm{2}} +{d}^{\mathrm{2}} =\mathrm{2022}^{\mathrm{2}} …\left({i}\right) \\ $$$${a}^{\mathrm{2}} +{c}^{\mathrm{2}} =\mathrm{2023}^{\mathrm{2}} …\left({ii}\right) \\ $$$${b}^{\mathrm{2}} +{c}^{\mathrm{2}} =\mathrm{2024}^{\mathrm{2}} …\left({iii}\right) \\ $$$$\left({iii}\right)−\left({ii}\right)+\left({i}\right):\:{b}^{\mathrm{2}} +{d}^{\mathrm{2}} =\mathrm{2024}^{\mathrm{2}} −\mathrm{2023}^{\mathrm{2}} +\mathrm{2022}^{\mathrm{2}} =?^{\mathrm{2}} \\ $$$$\Rightarrow?=\sqrt{\mathrm{4092531}} \\ $$
Commented by mr W last updated on 14/May/24
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