Question

determine o valor de X em cada triângulo: Cálculos Por favor

Answer 1

A)

$h^2=BD * DC\\\\ 12^2=9 * DC\\\\ 144 = 9 * DC\\\\ DC = \frac{144}{9}\\\\ DC = 16$

Agora por Pitágoras:

$x^2 = 12^2+16^2\\\\ x^2=144+256\\\\ x^2=\\\\ x=\sqrt{400}\\\\ x=20$

C) 

$12^2 = x*8\\\\ 144=8x\\\\ x= \frac{144}{8}\\\\ x= 18$

D)

$x^2=14*(20-14)\\\\ x^2=14*6\\\\ x^2=84\\\\ x=\sqrt{84}\\\\ x=2\sqrt{21}$