Question

Help me slove for x pleaae and thank yu

Answer 1

Triangle FGH is similar to triangle ABC

Therefore the ratio of their corresponding sides will be equal.

That is

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

Therefore, x = 12