1. Yes, the triangles are similar
2. ∆ AEC is similar to triangle BED
3. The ratios of the corresponding sides
is DE/EC = BE/AE = AC/DB
Similar triangles have congruent angles and proportional side lengths. Corresponding angles are equal, and the ratios of corresponding sides are constant.
1. From the diagram , the corresponding angles in the triangle are equal, but the lengths are not equal, thus the two triangles are similar.
2. from the diagram;
angle A = angle B ( alternate angles)
angle C = angle D ( alternate angles)
angle AEC = angle BED ( vertical angles)
Therefore, ∆ AEC is similar to triangle BED
The ratios of the corresponding sides
= DE/EC = BE/AE = AC/DB