In triangle ABC, DE || BC , then BC is .. a) 15b) 2 c) 3d) 7.5simplify and answer. Created by deenzeltoppo.

In triangle ABC, DE || BC , then BC is .. a) 15b) 2 c) 3d) 7.5simplify and answer

August 2023 1 0 Report

In triangle ABC, DE || BC , then BC is ..
a) 15

b) 2

c) 3

d) 7.5

simplify and answer

Answer:

Correct option is B)

The given information is shown in the attached diagram.

DE∣∣BC

⟹∠ADE=∠ABC Corresponding angles

∠AED=∠ACB Corresponding angles

∠A is common to both the triangles.

∴ΔADE∼ΔABC by AAA similarity

⟹

−1=

−1

EC=1×

1.5

=2 cm