Question

na figura ,AB//DE e a area do deltaCDE e 12cm².qual e a area do deltaABC?

Answer 1

Olá!

$\\ \displaystyle \mathsf{\frac{\overline{AB}}{\overline{DE}} = \frac{S_{\mathsf{\Delta ABC}}}{S_{\Delta CDE}}} \\\\\\ \mathsf{\frac{6}{4} = \frac{S_{\mathsf{\Delta ABC}}}{12}} \\\\\\ \mathsf{\frac{6}{1} = \frac{S_{\mathsf{\Delta ABC}}}{3}} \\\\\\ \mathsf{S_{\mathsf{\Delta ABC}} = 3 \cdot 6} \\\\\\ \boxed{\mathsf{S_{\mathsf{\Delta ABC}} = 16 \ cm^2}}$