Question

In AABC, D and E are points on AB and AC respectively such that DE || BC, If AD/BC = 3/4
and AC = 15cm, then value of AE will be :
(A) 6.43 cm
(B) 6.34 cm
(C) 4.63 cm
(D) None of these
Please solution explanation​

Answer 1

Step-by-step explanation:

A) 6.43

Given: ADBDADBD = 3434 and AC = 15 cm [As DE ∥ BC]

Required to find AE.

By using Thales Theorem,

[As DE ∥ BC] ADBDADBD = AECEAECE

Let, AE = x, then CE = 15 - x.

⇒ 3434 = x(15–x)x(15–x) 45 – 3x = 4x -3x – 4x = – 45 7x = 45 x = 457457 x = 6.43 cm

∴ AE = 6.43

hope it's help you