SSC CGL 17 Aug 2021 Shift 3 Paper

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Question : 58 of 100

Marks: +1, -0

In

△ A B C, P

and

Q

are the mid-points of

A B

and

A C

respectively.

R

is a point on

P Q

such that,

P R: R Q=3: 5

and

Q R=20

{cm}

, then what is the length (in

{cm}

) of

B C

?

$66.66$
24
64
40

Solution:

Given,

P R: B Q=3: 5

and

Q R=20 {cm}

If

P Q=(3+5)=8

unit
So,

B C=16

unit by mid-point theorem.
Now, if

R Q=5

unit

=20

unit

\;\;

(given)
So, 1 unit

=4

So,

\;\; B C=16

unit

=16 × 4=64 {cm}

.

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