Question

triangle fgh is similar to triangle ijk. find the measure of side jk. round your answer to the nearest tenth if necessary.
triangle fgh has fg = 13, gh = 10. triangle ijk has ij = 43.

Explanation:

Step1: Identify corresponding sides

Since $\triangle FGH \sim \triangle IJK$, corresponding sides are proportional. So, $\frac{FG}{IJ} = \frac{GH}{JK}$.

Step2: Substitute known values

We know $FG = 13$, $IJ = 43$, and $GH = 10$. Let $JK = x$. Then $\frac{13}{43} = \frac{10}{x}$.

Step3: Solve for x

Cross - multiply: $13x = 43\times10$. So, $13x = 430$. Then $x=\frac{430}{13}\approx33.1$.

Answer:

$\approx 33.1$