SSC CHSL 10 Aug 2021 Shift 1 Paper

Section: Quantitative Aptitude

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Question : 71 of 100

Marks: +1, -0

In

△ A B C

, points

D

and

E

are on

A B

and

A C

, respectively, such that

D E

is parallel to

B C

. If

A D=3 {cm}

,

B D=6 {cm}

and

A E=2 {cm}

, then find the length of

C E

.

$6 {cm}$
$16 {cm}$
$8 {cm}$
$4 {cm}$

Solution:

Given,

Since,

D E \| B C

∴ \;\; △ A D E ∼ △ A B C

∴ \;\; \;{A D}/{A B}=\;{A E}/{A C}

⇒ \;\; \;{3}/{9}=\;{2}/{A C}

⇒ \;\; A C=\;{2 × 9}/{3}=6 {cm}

∴ \;\; C E=A C-A E=6-2=4 {cm}

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