Question

calculati lungimea ipotenuzei unui triunghi dreptunghic isoscel cu aria de 72 cm²​

Answer 1

Deoarece Δ este unul dreptunghic isoscel, catetele sunt congruente.

$\bf\red{\boxed{A_{\Delta dreptrunghic}=\frac{c_1\times c_2}{2}}}$

$c_1=c_2\implies\:c_1\times c_2=c^2$

$\implies\:A=\frac{c^2}{2}\implies72=\frac{c^2}{2}\:\:|\times2\:\:\implies144=c^2\\c^2=144\implies c_1=12;\:\:c_2=-12$

Luăm soluția pozitivă (c₁ = 12)

$i^2=c^2+ c^2=12^2+12^2=144+144=288\\i=\sqrt{288}=\bf\red{\boxed{\underline{12\sqrt{2}}}}$