Question

help me slove for x pleaae and thank yu

Answer 1

SOLUTION

Triangle FGH is similar to triangle ABC

Therefore the ratio of their corresponding sides will be equal.

That is

$\begin{gathered} \frac{FG}{BA}=\frac{GH}{BC}\text{ = }\frac{FH}{CA} \\ \\ So\text{ let's take just these sides ratios } \\ \frac{GH}{BC}\text{ = }\frac{FH}{CA} \\ \\ \frac{7}{14}=\frac{6}{x} \\ \text{cross multiply } \\ 7x\text{ = 6x14} \\ x\text{ }=\text{ }\frac{84}{7} \\ x\text{ = 12} \end{gathered}$

Therefore, x = 12