Question

If ADE ABC in this diagram, which pair of ratios must necessarily be equal?

Answer 1

From the diagram, the the pair of ratios that should be equal is the ratio between the sides of each triangle. For instance,

AE/EC = AD/DB

This ratio of the lengths should be equal so that the figure can be true. Hope this answers the question.

Answer 2

`(AD)/(AB)=(AE)/(AC)=(DE)/(BC)`

Explanation:

we know that

Triangle ADE and Triangle ABC are similar

therefore

the ratio of their corresponding sides are equal

so

`(AD)/(AB)=(AE)/(AC)=(DE)/(BC)`