Question

Desafio:
Sabendo que $l$ expressa a medida do lado de um triângulo equilátero, e $\frac{l \sqrt{3} }{2}$ expressa a medida da altura, calcule o valor da aréa A em função de $l$ , dado qu e A= $\frac{l.h}{2}$.

Answer 1

$\large\begin{array}{l} \bullet~~\textsf{lado: }\mathsf{\ell}\\\\ \bullet~~\textsf{altura: }\mathsf{h=\dfrac{\ell \sqrt{3}}{2}}\\\\\\ \textsf{A \'area do tri\^angulo equil\'atero \'e dada por}\\\\ \mathsf{A=\dfrac{\ell \cdot h}{2}}\\\\ \mathsf{A=\dfrac{\ell \cdot \frac{\ell \sqrt{3}}{2}}{2}}\\\\ \mathsf{A=\dfrac{\ell}{2} \cdot \dfrac{\ell \sqrt{3}}{2}}\\\\ \boxed{\begin{array}{c}\mathsf{A=\dfrac{\ell^2\sqrt{3}}{4}} \end{array}} \end{array}$


$\large\begin{array}{l} \textsf{Esta \'e a f\'ormula da \'area em fun\c{c}\~ao do lado.}\\\\\\ \textsf{D\'uvidas? Comente.}\\\\\\ \textsf{Bons estudos! :-)} \end{array}$