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Question Number 183620 by a.lgnaoui last updated on 27/Dec/22

determiner l aire  du triangle CDE

$${determiner}\:{l}\:{aire}\:\:{du}\:{triangle}\:{CDE} \\ $$

Commented by a.lgnaoui last updated on 27/Dec/22

Answered by HeferH last updated on 27/Dec/22

 By seeing some similar triangles,   CDE its a special right triangle : 3k, 4k, 5k   15 (CDE hipotenuse) = 5k   k = 3  A = ((9∙12)/2) = 54 u^2

$$\:{By}\:{seeing}\:{some}\:{similar}\:{triangles}, \\ $$$$\:{CDE}\:{its}\:{a}\:{special}\:{right}\:{triangle}\::\:\mathrm{3}{k},\:\mathrm{4}{k},\:\mathrm{5}{k} \\ $$$$\:\mathrm{15}\:\left({CDE}\:{hipotenuse}\right)\:=\:\mathrm{5}{k} \\ $$$$\:{k}\:=\:\mathrm{3} \\ $$$${A}\:=\:\frac{\mathrm{9}\centerdot\mathrm{12}}{\mathrm{2}}\:=\:\mathrm{54}\:{u}^{\mathrm{2}} \\ $$

Commented by a.lgnaoui last updated on 27/Dec/22

OK,thanks

$${OK},{thanks} \\ $$

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