Question

Qual a medida do lado C no triângulo abaixo?

Answer 1

10²+16² = c²

100+256 = c²

356 = c²

raiz quadrada de: 356 = c

(desculpe não tenho a tecla de raiz no pc )

c = 18,86

C = 18,86 cm  

LIKE

Answer 2

Lei dos cossenos :

$\displaystyle \text{AB}^2=\text{AC}^2+\text{BC}^2-\text{AC.BC.}cos(\theta) \\\\\ \text{c}^2=10^2+16^2-2.10.16.\text{cos}(60^\circ) \\\\ \text c^2=100+256-160.2.\frac{1}{ 2} \\\\ \text c^2=356-160 \\\\\ \text c^2 = 196 \\\\ \text c=\sqrt{196} \\\\ \huge\boxed{ \ \text c =14 \ } \checkmark$