Question

△abc y △xyz son semejantes. hallar la longitud lateral desconocida. (los triángulos no están dibujados a escala.)

Explanation:

Step1: Set up proportion for similar - triangles

Since $\triangle ABC\sim\triangle XYZ$, the ratios of corresponding sides are equal. Let the unknown side be $x$. We can set up the proportion $\frac{x}{10}=\frac{6}{30}$.

Step2: Solve the proportion for $x$

Cross - multiply: $30x = 10\times6$. Then $30x=60$. Divide both sides by 30: $x=\frac{60}{30}=2$.

Answer:

2