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# If triangle ABC is an isosceles triangle

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Magoosh GMAT Instructor
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If triangle ABC is an isosceles triangle [#permalink]

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05 Nov 2012, 12:37
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73% (02:11) correct 27% (01:50) wrong based on 138 sessions

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If triangle ABC is an isosceles triangle, what is ∠ABC?

(1) ∠CAB = 45 degrees
(2) ∠BCA = 90 degrees

For a detailed discussion of that most amazing geometric theorem, the Isosceles Triangle Theorem, as well as a video explanation of this particular question, see this this link:
http://magoosh.com/gmat/2012/isosceles- ... -the-gmat/
[Reveal] Spoiler: OA

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Mike McGarry
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Re: If triangle ABC is an isosceles triangle [#permalink]

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05 Nov 2012, 15:12
hi Mike

I think this question is same as in the gmat prep 1
only value is changed to 90
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Re: If triangle ABC is an isosceles triangle [#permalink]

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25 Sep 2013, 00:31
sir,
pls any explain why statement A wrong and statement B is rght......
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Re: If triangle ABC is an isosceles triangle [#permalink]

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25 Sep 2013, 01:06
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kanusha wrote:
sir,
pls any explain why statement A wrong and statement B is rght......

If triangle ABC is an isosceles triangle, what is ∠ABC?

(1) ∠CAB = 45 degrees. The sum of the remaining two angles is 180-45=135 degrees. Triangle ABC can be 45-45-90 right isosceles triangle OR 67.5-67.5-45 isosceles triangle. Angle B can be 45, 90, or 67.5 degrees. Not sufficient.

(2) ∠BCA = 90 degrees. This statement says that we have 45-45-90 isosceles right triangle, where C=90 degrees, therefore the remaining two angles must be 45 degrees each. Sufficient.

Hope it's clear.
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Re: If triangle ABC is an isosceles triangle [#permalink]

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30 Mar 2015, 05:21
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Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: If triangle ABC is an isosceles triangle   [#permalink] 30 Mar 2015, 05:21
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