SSC CGL 17 Aug 2021 Shift 1 Paper

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Question : 52 of 100

Marks: +1, -0

A

△ A B C

has sides

5 {cm}, 6 {cm}

and

7 {cm}

.

A B

extended touches a circle at

P

and

A C

extended touches the same circle at

Q .

Find the length (in

{cm}

) of

A Q

.

13
9
11
12

Solution:

Given,

A B=5 {cm}

B C=6 {cm}

,

A C=7 {cm}

,

We know that,

A B+B C+C A=2 A P=2 A Q

⇒ \;\; 5+6+7=2 A Q

⇒ \;\; 18=2 {AQ}

∴ \;\; A Q=9 {cm}

.

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