Given trinagle ABC whose sides are AB=15 in., AC=25 in., and BC=30 in. Form a point D on the side AB, a line DE i drawn to a pointE on side AC such that angle ADE is equal to angle ABC. If the perimeter of triangle ADE is 28 in., find the lengths of line segments BD and CE.

Answer 1

since DE and BC are parallel, triangles ABC and ADE are similar.

The ratio of sides of ADE to ABC = 28/70 = 2/5

So,
CE = AC * 3/5 = 15
BD = AB * 3/5 = 9