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

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Math Expert
Joined: 02 Sep 2009
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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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17 Sep 2018, 20:53
00:00

Difficulty:

75% (hard)

Question Stats:

37% (02:03) correct 63% (02:17) wrong based on 29 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 [ 5.47 KiB | Viewed 357 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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18 Sep 2018, 18:29
Bunuel wrote:

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

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