Question

△rst ~ △ihg. find gi.

Explanation:

Step1: Use the property of similar triangles

Since \(\triangle RST\sim\triangle HIG\), the ratios of corresponding sides are equal. That is \(\frac{ST}{IG}=\frac{RS}{HI}\).

Step2: Substitute the known values

We know \(ST = 8\), \(RS=4\), and \(HI = 1\). Substituting into \(\frac{ST}{IG}=\frac{RS}{HI}\), we get \(\frac{8}{IG}=\frac{4}{1}\).

Step3: Solve for \(IG\)

Cross - multiply: \(4\times IG=8\times1\). Then \(IG=\frac{8}{4}\).

Answer:

\(2\)