Question

Na figura, determine A,B,C e H

Answer 1

$h^2=mn~~\Rightarrow~~h^2=25\cdot16~~\Rightarrow~~h^2=400~~\Rightarrow~~h=\sqrt{400}~~\Rightarrow~~\boxed{h=20}$.

$c^2=25^2+20^2~~\Rightarrow~~c^2=625+400~~\Rightarrow~~c^2=1025$.

$c=\sqrt{1025}~~\Rightarrow~~\boxed{c=5\sqrt{41}}$.


$b^2=20^2+16^2~~\Rightarrow~~b^2=400+256~~\Rightarrow~~b^2=656$

$b=\sqrt{656}~~\Rightarrow~~\boxed{b=4\sqrt{41}}$.