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What is the area of the triangle PQR?

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What is the area of the triangle PQR?  [#permalink]

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New post 14 Sep 2018, 00:41
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A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

50% (01:37) correct 50% (01:32) wrong based on 20 sessions

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Re: What is the area of the triangle PQR?  [#permalink]

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New post 14 Sep 2018, 00:59
chetan2u can you please help with this
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What is the area of the triangle PQR?  [#permalink]

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New post Updated on: 14 Sep 2018, 01:20
Bunuel wrote:
Image
What is the area of the triangle PQR?

(1) The radius of the circle is 5
(2) c = 1


Attachment:
image006.jpg


I feel, it should be C.

Statement I:

\(a+c = 10\), but nothing about b. Hence, Insufficient

Statement II:

\(c =1\), but nothing about a, b. Hence, Insufficient.

Combined:

\(a =9, c= 1\)

\(b^2 = 5^2 - 4^2, b = 3\)

Hence, C.
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Originally posted by rahul16singh28 on 14 Sep 2018, 01:09.
Last edited by rahul16singh28 on 14 Sep 2018, 01:20, edited 1 time in total.
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What is the area of the triangle PQR?  [#permalink]

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New post 14 Sep 2018, 01:16
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Bunuel wrote:
Image
What is the area of the triangle PQR?

(1) The radius of the circle is 5
(2) c = 1


Attachment:
The attachment image006.jpg is no longer available



rahulkashyap
The two things we require is the diameter and the place of point Q..
If you have these, you will be able to make a unique ∆PQR..
Now combined..
Radius is 5, so a unique circle...a+c=10
c is 1, so unique place of Q. And thus unique triangle.
So we should be able to get the area..

If it were a PS..
Join centre say O with Q..
So ∆OQS, S is the point on PR where altitude from Q drops..
Radius=OQ=5
OS=5-c=5-1=4
So QS=√(5^2-4^2)=√9=3

So area =1/2*3*10=15

C
Attachments

PicsArt_09-14-02.52.20.jpg
PicsArt_09-14-02.52.20.jpg [ 8.84 KiB | Viewed 310 times ]


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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


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What is the area of the triangle PQR? &nbs [#permalink] 14 Sep 2018, 01:16
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