Question

δabc is similar to δaxy by a ratio of 5:3. if bc = 25, what is the length of xy?

Explanation:

Step1: Set up proportion

Since $\triangle ABC$ is similar to $\triangle AXY$ with a ratio of $5:3$, we have the proportion $\frac{BC}{XY}=\frac{5}{3}$.

Step2: Substitute the value of BC

We know $BC = 25$, so the equation becomes $\frac{25}{XY}=\frac{5}{3}$.

Step3: Cross - multiply

Cross - multiplying gives us $5\times XY=25\times3$.

Step4: Solve for XY

$5XY = 75$, then $XY=\frac{75}{5}=15$.

Answer:

$15$