Question

The triangles ABC and ADE are similar.

Which of the following is true ?

• A. $\frac{AB}{AD}=\frac{BC}{DE}$
• B. $\frac{BC}{BD}=\frac{CE}{DE}$
• C. $\frac{EC}{AC}=\frac{AD}{DE}$
• D. All of the above.

Answer 1

The correct option is A $\frac{AB}{AD}=\frac{BC}{DE}$

Since the given triangles are similar, the ratios of corresponding sides are equal.

So, $\frac{AB}{AD}=\frac{BC}{DE}=\frac{AC}{AE}$