Question

in the figure below, △abc is similar to △ghc. what is the length of (overline{ch})? a 4.8 b 4 c h 2.4 g a. 2.9 units b. 4 units c. 2 units d. 1.25 units

Explanation:

Step1: Set up proportion

Since $\triangle ABC\sim\triangle GHC$, we have $\frac{AB}{GH}=\frac{BC}{CH}$. Substituting values, $\frac{4.8}{2.4}=\frac{4}{CH}$.

Step2: Solve for CH

Cross - multiply: $4.8\times CH = 2.4\times4$, then $CH=\frac{2.4\times4}{4.8}=2$.

Answer:

C. 2 units