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If ABC is a right-angled triangle, what is the measure

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Joined: 02 Aug 2009
Posts: 6958
If ABC is a right-angled triangle, what is the measure  [#permalink]

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New post 30 Jul 2018, 19:26
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

86% (00:44) correct 14% (01:00) wrong based on 51 sessions

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If ABC is a right-angled triangle, what is the measure of angle \(\angle{ABC}\)?


(A) \(\angle{ABC}\) is the largest angle.

(B) \(\angle{BAC}=\angle{CBA}\)

New question!!!..

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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


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Re: If ABC is a right-angled triangle, what is the measure  [#permalink]

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New post 30 Jul 2018, 19:48
1
chetan2u wrote:
If ABC is a right-angled triangle, what is the measure of angle \(\angle{ABC}\)?
(A) \(\angle{ABC}\) is the largest angle.
(B) \(\angle{BAC}=\angle{CBA}\)

New question!!!..


As ABC is a right angled triangle, it means -

\(\angle{A}\) + \(\angle{B}\) + \(\angle{C}\) = 180 ----- (1)
One of the angles is 90 degrees and that will be the largest angle ------- (2)

Statement A - \(\angle{ABC}\) is the largest angle.

From Line (2) and statement (A) we concur,

Measure of \(\angle{ABC}\) is 90 degree

Hence statement A is sufficient.

--------------------------------------------------------------------------------------

Statement B - \(\angle{BAC}=\angle{CBA}\)

From (2) we know,

One of the angles is 90 degree. So remaining two angle's sum will be 90 degrees (From Line 1)

Hence if

\(\angle{BAC}=\angle{CBA}\), they cannot be both 90 degrees,

So Measure of \(\angle{ABC}\) has to be 90 degree

Hence statement B is sufficient.

--------------------------------------------------------------------------------------

The answer then becomes D
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Re: If ABC is a right-angled triangle, what is the measure  [#permalink]

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New post 31 Jul 2018, 03:17
chetan2u wrote:
If ABC is a right-angled triangle, what is the measure of angle \(\angle{ABC}\)?


(A) \(\angle{ABC}\) is the largest angle.

(B) \(\angle{BAC}=\angle{CBA}\)

New question!!!..


1. The largest angle of a rt angled triangle is 90=ABC
sufficient

2.both=45
ABC=90
sufficient

D
GMAT Club Bot
Re: If ABC is a right-angled triangle, what is the measure &nbs [#permalink] 31 Jul 2018, 03:17
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If ABC is a right-angled triangle, what is the measure

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