Question

triangle hij is similar to triangle klm. find the measure of side kl. round your answer to the nearest tenth if necessary.

Explanation:

Step1: Identify corresponding sides

Since $\triangle HIJ \sim \triangle KLM$, the corresponding sides are proportional. So, $\frac{IJ}{LM}=\frac{HI}{KL}$. We know $IJ = 59$, $LM = 29$, and $HI = 28.1$. Let $KL = x$.

Step2: Set up the proportion

Substitute the known values into the proportion: $\frac{59}{29}=\frac{28.1}{x}$.

Step3: Cross - multiply to solve for $x$

Cross - multiplying gives $59x=29\times28.1$. First, calculate $29\times28.1 = 814.9$. Then, $x=\frac{814.9}{59}$.

Step4: Calculate the value of $x$

$\frac{814.9}{59}\approx13.8$

Answer:

$13.8$