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# What is the length of CB in right triangle ABC? (1) The length of AB

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Math Expert
Joined: 02 Sep 2009
Posts: 49993
What is the length of CB in right triangle ABC? (1) The length of AB  [#permalink]

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18 Sep 2018, 21:53
00:00

Difficulty:

55% (hard)

Question Stats:

40% (00:36) correct 60% (00:42) wrong based on 40 sessions

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What is the length of CB in right triangle ABC?

(1) The length of AB is 2.
(2) The length of AC is $$2\sqrt{3}$$.

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Manager
Joined: 10 Jan 2013
Posts: 114
Location: India
Concentration: General Management, Strategy
GMAT 1: 600 Q43 V30
GPA: 3.95
Re: What is the length of CB in right triangle ABC? (1) The length of AB  [#permalink]

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26 Sep 2018, 04:36
So i got this question wrong..

Both the statements are insufficient.

Taking both.. one fits the 30 60 90 rule..
But if the vertices are chosen differently, the answer is different..
So E

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Intern
Joined: 11 Nov 2017
Posts: 1
Re: What is the length of CB in right triangle ABC? (1) The length of AB  [#permalink]

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26 Sep 2018, 05:37
1. AB = 2 - insufficient
2. AC = 2√3 - insufficient

1 & 2: pythagorean theorem
AB²+BC²=CD² => 4+BC2²=12=> BC=2√2
or
AB²+CD²=BC² => 4+12=BC² => BC=4

insufficient - E
Re: What is the length of CB in right triangle ABC? (1) The length of AB &nbs [#permalink] 26 Sep 2018, 05:37
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# What is the length of CB in right triangle ABC? (1) The length of AB

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