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

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Math Expert
Joined: 02 Aug 2009
Posts: 7112
If ABC is a right-angled triangle, what is the measure  [#permalink]

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30 Jul 2018, 18:26
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Difficulty:

(N/A)

Question Stats:

85% (00:44) correct 15% (00:56) wrong based on 53 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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Joined: 11 Mar 2018
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Re: If ABC is a right-angled triangle, what is the measure  [#permalink]

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30 Jul 2018, 18:48
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.

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

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

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31 Jul 2018, 02:17
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
Re: If ABC is a right-angled triangle, what is the measure &nbs [#permalink] 31 Jul 2018, 02:17
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