Last visit was: 24 Jul 2024, 15:35 It is currently 24 Jul 2024, 15:35
Close
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Close
Request Expert Reply
Confirm Cancel
SORT BY:
Date
Tags:
Show Tags
Hide Tags
Current Student
Joined: 28 May 2014
Posts: 423
Own Kudos [?]: 1113 [1]
Given Kudos: 103
GMAT 1: 730 Q49 V41
Send PM
Intern
Intern
Joined: 03 Aug 2016
Posts: 38
Own Kudos [?]: 22 [1]
Given Kudos: 99
Send PM
avatar
Intern
Intern
Joined: 03 Apr 2018
Posts: 1
Own Kudos [?]: 0 [0]
Given Kudos: 0
Send PM
Intern
Intern
Joined: 03 Aug 2016
Posts: 38
Own Kudos [?]: 22 [0]
Given Kudos: 99
Send PM
Re: In the triangle ABC shown above, what is the value of ∠ACB [#permalink]
prasang wrote:
For Option B-- How do we conclude that B is 90 degree.
Answer should b C. Since Pythagorean theorem is applied which makes the angle B 90 degree.



The angle opposite of side AB is C, and the angle opposite of side BC is A. We're given that AB = BC = 6. Therefore angles C and A must be 45 degrees each. We're left with angle B, which must be 90 degrees.
Intern
Intern
Joined: 31 Jul 2017
Posts: 19
Own Kudos [?]: 3 [0]
Given Kudos: 83
Send PM
Re: In the triangle ABC shown above, what is the value of ∠ACB [#permalink]
Wildflower wrote:
prasang wrote:
For Option B-- How do we conclude that B is 90 degree.
Answer should b C. Since Pythagorean theorem is applied which makes the angle B 90 degree.



The angle opposite of side AB is C, and the angle opposite of side BC is A. We're given that AB = BC = 6. Therefore angles C and A must be 45 degrees each. We're left with angle B, which must be 90 degrees.


Hi,
But how you came to the conclusion that angles C & A must be 45 degrees? I agree that Statement B gives us isoscles triangle but how it gives the angle measure?
RC & DI Moderator
Joined: 02 Aug 2009
Status:Math and DI Expert
Posts: 11485
Own Kudos [?]: 34585 [2]
Given Kudos: 325
Send PM
Re: In the triangle ABC shown above, what is the value of ∠ACB [#permalink]
2
Kudos
Expert Reply
saswata4s wrote:


In the triangle ABC shown above, what is the value of ∠ACB?

(1) AB^2 + BC^2 = AC^2
(2) The length of sides AB and BC is 6 and 6 units respectively


Attachment:
Figure 1.JPG



Don't get carried away by the sketch, angle B could be 90 or 91 or 95..

Let's see what each statement tells us..
I.. it tells us that it is a RIGHT angled triangle, so B=90
II.. it tells us that the triangle is isosceles triangle, so angle C=angle A..

Combined, we know it is 45-45-90 ∆
Sufficient

C
Intern
Intern
Joined: 03 Aug 2016
Posts: 38
Own Kudos [?]: 22 [0]
Given Kudos: 99
Send PM
Re: In the triangle ABC shown above, what is the value of ∠ACB [#permalink]
prasang wrote:
For Option B-- How do we conclude that B is 90 degree.
Answer should b C. Since Pythagorean theorem is applied which makes the angle B 90 degree.


Got it, thank you! :thumbup:
Intern
Intern
Joined: 03 Aug 2016
Posts: 38
Own Kudos [?]: 22 [0]
Given Kudos: 99
Send PM
Re: In the triangle ABC shown above, what is the value of ∠ACB [#permalink]
rohitf23 wrote:
Wildflower wrote:
prasang wrote:
For Option B-- How do we conclude that B is 90 degree.
Answer should b C. Since Pythagorean theorem is applied which makes the angle B 90 degree.



The angle opposite of side AB is C, and the angle opposite of side BC is A. We're given that AB = BC = 6. Therefore angles C and A must be 45 degrees each. We're left with angle B, which must be 90 degrees.


Hi,
But how you came to the conclusion that angles C & A must be 45 degrees? I agree that Statement B gives us isoscles triangle but how it gives the angle measure?


Hi, you're right. I shouldn't have assumed. Thank you!
Director
Director
Joined: 02 Oct 2017
Posts: 549
Own Kudos [?]: 490 [0]
Given Kudos: 14
Send PM
Re: In the triangle ABC shown above, what is the value of ∠ACB [#permalink]
I) right triangle but don't know Bout other two sides
They can be equal then angle 45
If not different Angles
Insufficient

II)two sides equal
If all three equal then angle 60 as case of equilateral
Or they can be isosceles right triangle or isosceles non right triangle
Insufficient

Combining
Isosceles right triangle exists so angle 45 degree

Posted from my mobile device
Manager
Manager
Joined: 15 Jan 2019
Posts: 50
Own Kudos [?]: 6 [0]
Given Kudos: 249
Location: India
GMAT 1: 650 Q42 V38
GPA: 4
Send PM
Re: In the triangle ABC shown above, what is the value of ∠ACB [#permalink]
Wildflower wrote:
saswata4s wrote:


In the triangle ABC shown above, what is the value of ∠ACB?

(1) AB^2 + BC^2 = AC^2
(2) The length of sides AB and BC is 6 and 6 units respectively


Attachment:
Figure 1.JPG


Statement 1: \(AB^2 + BC^2 = AC^2\) -- Pythagorean theorem is used to find the length of a side of a triangle if we're given the lengths of the other two sides. Therefore statement 1 is not sufficient to find the value of C (an angle) in triangle ACB.

Statement 2: The length of sides AB and BC is 6 and 6 units respectively -- since AB=BC triangle ACB has to be an isosceles triangle with B= 90 degrees, A= 45 degrees, and C = 45 degrees. Therefore statement 2 is sufficient.

IMHO, answer is B -- statement 2 alone is sufficient.


You dont know that angle b is 90. only from option a it can be decipehred that angle b is right angle
GMAT Club Bot
Re: In the triangle ABC shown above, what is the value of ∠ACB [#permalink]
Moderator:
Math Expert
94609 posts