Question

Given: ∠A=50, ∠B=100, △ABC≈△PRQAB=14, BC=22.4, PR= 20, RQ= 32What is ∠Q?What is the similarity ratio of △ABC to △PRQ?

Answer 1

SOLUTION:

We could give a rough sketch for the triangles

From our knowledge of triangles, we can see that;

$\angle Q=30^o$

The similarity ratio of △ABC to △PRQ is;

$\begin{gathered} \frac{20}{14} \\ \\ which\text{ }is\text{ }equal\text{ }to \\ \\ \frac{10}{7} \end{gathered}$