Question

D and E are points on the sides AB and AC respectively of a ∆ABC such that DE || BC. If AD/AB = 8/15 and EC = 3.5cm, find AE

Answer 1

Heya !!

Here's your answer.. ⬇⬇

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⚫ Given :- In ∆ABC,
AD/AB = 8/15
EC = 3.5 cm

⚫ To Find :- AE = ?

⚫ Solution :-

AD = 8x
AB = 15x

DB = AB - AD
DB = 15x - 8x
DB = 7x

DB/AB = EC/AC

7x/15x = 3.5/AC

7/15 = 3.5/AC

AC = 3.5 × 15/7

AC = 7.5

AE = AC - EC
AE = 7.5 - 3.5
AE = 4 cm

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Hope it helps..

Thanks :)

Answer 2

Given :- In ∆ABC,

AD/AB = 8/15

EC = 3.5 cm

⚫ To Find :- AE = ?

⚫ Solution :-

AD = 8x

AB = 15x

DB = AB - AD

DB = 15x - 8x

DB = 7x

DB/AB = EC/AC

7x/15x = 3.5/AC

7/15 = 3.5/AC

AC = 3.5 × 15/7

AC = 7.5

AE = AC - EC

AE = 7.5 - 3.5

AE = 4 cm

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