Question

Calcule a medida da area de cada triangulo

a) x² = 18² + 32²

b) 10² = 8² +32²
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3

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Answer 1

$\boxed{\begin{array}{l}\sf x^2+10^2=18^2\\\sf x^2=324-100\\\sf x^2=224\\\sf x=\sqrt{224}\\\sf x=4\sqrt{14}\\\sf A_{tri\hat angulo}=\dfrac{1}{\backslash\!\!\!\!2}\cdot\bigg(\dfrac{32}{3}+4\sqrt{14}\bigg)\cdot\backslash\!\!\!\!8\\\\\sf A_{tri\hat angulo}=4\cdot\bigg(\dfrac{32+42\sqrt{14}}{3}\bigg)\\\\\sf A_{tri\hat angulo}=4\cdot\bigg(\dfrac{2(16+21\sqrt{14})}{3}\bigg)\\\sf A_{tri\hat angulo}=8\cdot\bigg(\dfrac{16+21\sqrt{14}}{3}\bigg)~cm^2\end{array}}$