Question

triangle ghi is similar to triangle jkl. find the measure of side lj. round your answer to the nearest tenth if necessary. answer attempt 1 out of 2 submit answer

Explanation:

Step1: Set up similarity proportion

$\frac{GI}{LJ} = \frac{HI}{KL}$

Step2: Substitute known side lengths

$\frac{22}{LJ} = \frac{15}{49}$

Step3: Cross-multiply to solve for $LJ$

$15 \times LJ = 22 \times 49$
$15LJ = 1078$

Step4: Isolate $LJ$ and calculate

$LJ = \frac{1078}{15} \approx 71.9$

Answer:

71.9