Question Number 178299 by HeferH last updated on 14/Oct/22
Answered by mr W last updated on 15/Oct/22
Commented by mr W last updated on 15/Oct/22
$${sides}\:{of}\:{green}\:{triangles}: \\ $$$$\mathrm{2}{a},\:\mathrm{2}{b},\:\mathrm{2}{R} \\ $$$${we}\:{have}\:\left(\mathrm{2}{a}\right)^{\mathrm{2}} +\left(\mathrm{2}{b}\right)^{\mathrm{2}} =\left(\mathrm{2}{R}\right)^{\mathrm{2}} \\ $$$$\Rightarrow{a}^{\mathrm{2}} +{b}^{\mathrm{2}} ={R}^{\mathrm{2}} \\ $$$${blue}\:{area}\:={a}^{\mathrm{2}} +{b}^{\mathrm{2}} ={R}^{\mathrm{2}} =\mathrm{10}^{\mathrm{2}} =\mathrm{100} \\ $$
Commented by Tawa11 last updated on 15/Oct/22
$$\mathrm{Great}\:\mathrm{sir} \\ $$