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

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

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

Answer

Explanation:

Step1: Set up the proportion

Since the triangles are similar, the ratios of corresponding sides are equal. Let ( KL = x ). The proportion is (\frac{IJ}{LM}=\frac{HI}{KL}). Substituting the values: (\frac{9}{41}=\frac{7.5}{x}).

Step2: Cross - multiply

Cross - multiplying gives (9x = 7.5\times41).

Step3: Calculate the right - hand side

(7.5\times41 = 307.5). So, (9x=307.5).

Step4: Solve for (x)

Divide both sides by 9: (x=\frac{307.5}{9}). (x = 34.166\cdots\approx34.2).

Answer:

(34.2)