Question

In the given figure, DE || BC. If AE = 5 cm,

EC = 2.5 cm and AD = 8 cm, then find BD.​

Answer 1

In triangles ABC and ADE,

AD/DB = DE/BC

2.4/DB = 2/5

5 × 2.4 = 2 × DB

12 = 2 × DB

6 cm = DB.

In triangle ABC,

AD/DB = AE/EC

2.4/6 = 3.2/EC

2.4 × EC = 3.2 × 6

2.4 × EC = 19.2

EC = 19.2/2.4 * 10

EC = 192/24

EC = 8 cm.

Therefore, BD = 6cm and CE = 8cm.

Answer 2

Answer:

Therefore , BD = 6cm and BE = 8cm