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What is the value of b/c? (1) The length of segment PQ is twice the

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What is the value of b/c? (1) The length of segment PQ is twice the  [#permalink]

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New post 17 Sep 2018, 20:53
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Question Stats:

36% (02:06) correct 64% (02:13) wrong based on 22 sessions

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What is the value of b/c?

(1) The length of segment PQ is twice the length of segment QR
(2) a = 9


Attachment:
image007.jpg
image007.jpg [ 5.47 KiB | Viewed 211 times ]

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Re: What is the value of b/c? (1) The length of segment PQ is twice the  [#permalink]

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New post 18 Sep 2018, 18:29
Bunuel wrote:
Image
What is the value of b/c?

(1) The length of segment PQ is twice the length of segment QR
(2) a = 9


Attachment:
image007.jpg


Property:Triangle drawn in Semicircle is always Right angle triangle hence PQR is right angle triangle
Property: In right traingle, a perpendicular dropped from right angle vertex on hypotenuse divides the triangles in to two similar right angle triangles and all right angle triangles will be similar


Question: What is the value of b/c?
i.e. we need ratio of shorter and longer bases of right triangle
Since all triangles here are similar so the corresponding ratio in any triangle will do good

Statement 1: The length of segment PQ is twice the length of segment QR
i.e. b/c = 2/1
SUFFICIENT

STatement 2: a = 9
NOT SUFFICIENT

Answer:option A
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Re: What is the value of b/c? (1) The length of segment PQ is twice the &nbs [#permalink] 18 Sep 2018, 18:29
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