Question

triangle ghi is similar to triangle jkl. find the measure of side lj. round your answer to the nearest tenth if nece
i 49 h l 23 k
23
g j

Explanation:

Step1: Set up the proportion

Since \(\triangle GHI\sim\triangle JKL\), the ratios of corresponding sides are equal. Let \(LJ = x\). Then \(\frac{GH}{JK}=\frac{GI}{JL}\). Substituting the values, we have \(\frac{49}{23}=\frac{23}{x}\).

Step2: Cross - multiply

Cross - multiplying gives \(49x=23\times23\). So \(49x = 529\).

Step3: Solve for \(x\)

Divide both sides by 49: \(x=\frac{529}{49}\approx10.8\).

Answer:

\(10.8\)