Question

In triangle ABC D and E are the points on the sides AB and AC respectively such that DE parallel to BC AD/DB is 3/4 and AC is 15cm Find AE

Answer 1

Answer:

15/7*3

45/7

6.42

6.4 cm

Answer 2

AE = 6.43 cm

Let AE be x and EC be 15-x

According to the Basic Proportional Theorem,

AD/DB = AE/EC

3/4 = x/(15-x)

By cross multiplying,

4x = 3(15-x)

4x = 45-3x

7x = 45

x = 45/7

x = 6.43 cm

Therefore, AE = 6.43 cm

Hope this helps!