Question

*In ∆ ABC, D and E are the points on AB and AC respectively. If DE ǁ BC and AD = 6 cm, DB = 8 cm and AE = 9 cm, then what is the length of EC?*

1️⃣ 8 cm
2️⃣ 18 cm
3️⃣ 16 cm
4️⃣ 12 cm​

Answer 1

Answer:

In ∆ABC , DE|| BC

In ∆ABC , DE|| BC AB = AC

By BPT Theorem,

AD/DB = AE /EC

6/8 = 9/EC

6× EC = 8×9

EC = 72/6 = 12 cm