Question

Aplicando as relações métricas no triângulo retângulo abaixo, determine os valores das incógnitas.

Answer 1

$\large\boxed{\begin{array}{l}\rm a^2=1^2+(\sqrt{3})^2\\\rm a^2=1+3\\\rm a^2=4\\\rm a=\sqrt{4}\\\rm a=2 \\\rm 1^2=a\cdot n\\\rm 2n=1\\\rm n=\dfrac{1}{2}\\\\\rm m=2-n\\\rm m=2-\dfrac{1}{2}\\\\\rm m=\dfrac{4-1}{2}\\\\\rm m=\dfrac{3}{2}\\\rm a\cdot h=1\cdot\sqrt{3}\\\rm 2h=\sqrt{3}\\\rm h=\dfrac{\sqrt{3}}{2}\end{array}}$