Question

considere a figura abaixo e calcule os valores de a,b e c
Obs:7 questão.

Answer 1

Temos que aplicar o teorema de pitágoras em cada triângulo da figura.

$\boxed{h^2=c_1^2+c^2_2}\\\\\\ a^2=1^2+2^2\\a^2=1+4\\a^2=5\\\\\boxed{\boxed{a= \sqrt{5}}}\\\\\\ b^2=4^2+3^2\\b^2=16+9\\b^2=25\\b= \sqrt{25} \\\\\boxed{\boxed{b=5 }}\\\\\\ c^2=a^2+b^2\\c^2=( \sqrt{5} )^2+5^2\\c^2=5+25\\c^2=30\\\\\boxed{\boxed{c= \sqrt{30}}}$