Question

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Answer 1

FORMULA DE HERON:  

Sea A,B,C los lados del triangulo

$S = \dfrac{A+B+C}{2} \ \ --\ \textgreater \ \ \textgreater \ Semi \ perimetro$

    $\boxed{\sqrt{S(S-A)(S-B)(S-C)} ---\ \textgreater \ FORMULA \ DE \ HERON}$

Solución:

tenemos que:

A = 7 cm
B = 5 cm
C = 8 cm

Entonces....

$S = \dfrac{\texttt{7 cm + 5 cm + 8 cm}}{2} \\ \\ S = \dfrac{\texttt{20 cm}}{2} \\ \\ \texttt{S = 10 cm} \ \ --\ \textgreater \ \ \textgreater \ Semi \ perimetro$
 
Ahora usamos la formula de Heron:

$\sqrt{\texttt{10 cm(10 cm - 7 cm)(10 cm - 5 cm)(10 cm - 8 cm)}} \\ \\ \sqrt{\texttt{10 cm(3 cm)(5 cm)(2 cm)}} \\ \\ \sqrt{300 \ cm^{4} } \\ \\ \boxed{17.32 \ cm^{2} \ \ --\ \textgreater \ \ \textgreater \ \ \textgreater \ Respuesta \ \textless \ \ \textless \ \ \textless \ }$