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In the figure above, CX is the radius of the circle with center O. Whi

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Math Expert
Joined: 02 Sep 2009
Posts: 42607

Kudos [?]: 135655 [0], given: 12705

In the figure above, CX is the radius of the circle with center O. Whi [#permalink]

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29 Nov 2017, 22:04
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Question Stats:

93% (00:24) correct 7% (02:11) wrong based on 15 sessions

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In the figure above, CX is the radius of the circle with center O. Which of the following triangles has the least area?

(A) ∆ CPX
(B) ∆ CQX
(C) ∆ CRX
(D) ∆ CSX
(E) ∆ CTX

[Reveal] Spoiler:
Attachment:

2017-11-30_1001.png [ 12.52 KiB | Viewed 278 times ]
[Reveal] Spoiler: OA

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Kudos [?]: 135655 [0], given: 12705

Manager
Joined: 17 Oct 2016
Posts: 150

Kudos [?]: 38 [1], given: 89

Location: India
Concentration: Operations, Strategy
GPA: 3.7
WE: Design (Real Estate)
Re: In the figure above, CX is the radius of the circle with center O. Whi [#permalink]

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29 Nov 2017, 22:28
1
KUDOS
A

Comparing the height of all the triangles height of the triangle CPX seems to be the least. Hence the area of triangle CPX will be the least

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Kudos [?]: 38 [1], given: 89

Manager
Joined: 31 Jul 2017
Posts: 119

Kudos [?]: 17 [0], given: 333

In the figure above, CX is the radius of the circle with center O. Whi [#permalink]

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01 Dec 2017, 08:46
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Bunuel wrote:

In the figure above, CX is the radius of the circle with center O. Which of the following triangles has the least area?

(A) ∆ CPX
(B) ∆ CQX
(C) ∆ CRX
(D) ∆ CSX
(E) ∆ CTX

[Reveal] Spoiler:
Attachment:
2017-11-30_1001.png

Area of any Triangle is given by - $$\frac{1}{2}$$abSinC = $$\frac{1}{2}$$bcSinA= $$\frac{1}{2}$$acSinB.. It will be maximum when Angle is 90 and minimum when close to zero or 180.

Hence A.

Kudos [?]: 17 [0], given: 333

In the figure above, CX is the radius of the circle with center O. Whi   [#permalink] 01 Dec 2017, 08:46
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