Question

calcule q área de um triângulo com lados medindo 12,15,21
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Answer 1

Resposta:

$A=36\sqrt{6}$

Explicação passo a passo:

Vamos usar a fórmula de Heron

$A=\sqrt{P(P-a)(P-b)(P-c)},~onde ~P= \frac{a+b+c}{2} \\\\P=\frac{12+15+21}{2}=24\\\\A=\sqrt{24(24-12)(24(-15)(24-21)}\\\\A=\sqrt{24.12.9.3}\\\\ A=\sqrt{4.6.9.36}\\\\A=\sqrt{4.9.36.6}\\\\A=2.3.6\sqrt{6} \\\\ A=36\sqrt{6}$