NEW HERE? LEARN MORE
closeclose
Last visit was: 30 Apr 2024, 02:07 It is currently 30 Apr 2024, 02:07
Decision Tracker
My Rewards
New posts
New comers' posts

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

What is the area of right triangle ABC?

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
B
aashishagarwal2
Intern
Intern
Joined: 04 Jul 2017
Posts: 44
Own Kudos [?]: 53 [1]
Given Kudos: 105
Location: India
Concentration: Marketing, General Management
Schools: CBS '20 Sloan '20 Johnson '20 ISB '19 Insead Sept'18 Stanford '20 Tuck '20 Yale '20 Wharton '20 HBS '20 INSEAD Jan '19
GPA: 1
WE:Analyst (Consulting)
Send PM
What is the area of right triangle ABC? [#permalink] New post   Updated on: 26 Aug 2017, 10:47
1
Bookmarks
Data Sufficiency Geometry:

What is the area of right triangle ABC?

I) AB is 6
II) BC is 8

My first question is can we assume that B is the right angle in triangle ABC since B is written in between AB? If yes, the answer is C, or else E since multiple solutions can be found? Please let me know the answer too, thanks in advance. :)

OA: Not available.
Source: Mitul Gada's class handout.

Originally posted by aashishagarwal2 on 23 Aug 2017, 08:24.
Last edited by aashishagarwal2 on 26 Aug 2017, 10:47, edited 4 times in total.
User avatar
G
pushkarajnjadhav
Manager
Manager
Joined: 12 Feb 2017
Posts: 61
Own Kudos [?]: 84 [1]
Given Kudos: 48
Send PM
Re: What is the area of right triangle ABC? [#permalink] New post   23 Aug 2017, 08:39
1
Kudos
Hii aashishagarwal2,
No you can not assume that B is 90° just because it is placed in between A and C. Problem must state that ABC is a right angled triangle at B or state that AC is a hypotenuse.

kudos if it helps.
User avatar
B
aashishagarwal2
Intern
Intern
Joined: 04 Jul 2017
Posts: 44
Own Kudos [?]: 53 [0]
Given Kudos: 105
Location: India
Concentration: Marketing, General Management
Schools: CBS '20 Sloan '20 Johnson '20 ISB '19 Insead Sept'18 Stanford '20 Tuck '20 Yale '20 Wharton '20 HBS '20 INSEAD Jan '19
GPA: 1
WE:Analyst (Consulting)
Send PM
Re: What is the area of right triangle ABC? [#permalink] New post   23 Aug 2017, 08:49
pushkarajnjadhav wrote:
Hii aashishagarwal2,
No you can not assume that B is 90° just because it is placed in between A and C. Problem must state that ABC is a right angled triangle at B or state that AC is a hypotenuse.

kudos if it helps.


What's your answer?
User avatar
G
pushkarajnjadhav
Manager
Manager
Joined: 12 Feb 2017
Posts: 61
Own Kudos [?]: 84 [2]
Given Kudos: 48
Send PM
Re: What is the area of right triangle ABC? [#permalink] New post   23 Aug 2017, 09:46
2
Kudos
aashishagarwal2
Hii,
In this case it seems that third side of triangle can take multiple values.
for further explanation see this https://www.youtube.com/watch?v=icUHqgCyKfc
so we can not find unique area of a triangle. So Answer must be E.
User avatar
B
aashishagarwal2
Intern
Intern
Joined: 04 Jul 2017
Posts: 44
Own Kudos [?]: 53 [0]
Given Kudos: 105
Location: India
Concentration: Marketing, General Management
Schools: CBS '20 Sloan '20 Johnson '20 ISB '19 Insead Sept'18 Stanford '20 Tuck '20 Yale '20 Wharton '20 HBS '20 INSEAD Jan '19
GPA: 1
WE:Analyst (Consulting)
Send PM
Re: What is the area of right triangle ABC? [#permalink] New post   23 Aug 2017, 11:01
pushkarajnjadhav wrote:
aashishagarwal2
Hii,
In this case it seems that third side of triangle can take multiple values.
for further explanation see this https://www.youtube.com/watch?v=icUHqgCyKfc
so we can not find unique area of a triangle. So Answer must be E.


Can you please re-read the entire question and confirm? Its stated as right triangle ABC and not triangle ABC. Can we now assume B is the right angle? Sorry for trouble.
User avatar
G
pushkarajnjadhav
Manager
Manager
Joined: 12 Feb 2017
Posts: 61
Own Kudos [?]: 84 [0]
Given Kudos: 48
Send PM
Re: What is the area of right triangle ABC? [#permalink] New post   23 Aug 2017, 11:08
Hii aashishagarwal2,

Even if ABC is right angled triangle there are two scenarios:
Scenario 1) hypotenuse is 8 then the remaining sides will be 6 and 2√7
Scenario 2) If 8 and 6 are two other sides of a right angled triangle then hypotenuse will be 10.

I hope, it is clear
avatar
trjomara
Intern
Intern
Joined: 09 Jul 2017
Posts: 4
Own Kudos [?]: 1 [1]
Given Kudos: 7
Location: United States (CO)
GPA: 3.1
Send PM
Re: What is the area of right triangle ABC? [#permalink] New post   23 Aug 2017, 22:44
1
Kudos
We can not simply assume that the right angle is B.
So my answer is E
avatar
B
senti_pra
Intern
Intern
Joined: 24 Jan 2017
Posts: 4
Own Kudos [?]: 2 [1]
Given Kudos: 89
Send PM
Re: What is the area of right triangle ABC? [#permalink] New post   23 Aug 2017, 23:00
1
Kudos
It is clear that the statements alone are not sufficient to find the answer so (A), (B) and (D) are out.

We are left with (C) or (E)

Now lets consider two scenarios :

1. Triangle ABC is right angled at C
2. Triangle ABC is right angled at B

(Triangle ABC cannot be right angled at A because 6 will be the hypotenuse, which is not possible)

If we consider both statements together, two different areas are possible. (1/2 x 6 x 8 OR 1/2 x 6 x ~5.2) => No unique answer.

Hence, the answer should be (E)
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 93031
Own Kudos [?]: 620094 [2]
Given Kudos: 81651
Send PM
CAT Tests Forum Quiz Mode
Re: What is the area of right triangle ABC? [#permalink] New post   24 Aug 2017, 00:00
2
Kudos
Expert Reply
aashishagarwal2 wrote:
Data Sufficiency Geometry:

What is the area of right triangle ABC?

I) AB is 6
II) BC is 8

My first question is can we assume that B is the right angle in triangle ABC since B is written in between AB? If yes, the answer is C, or else E since multiple solutions can be found? Please let me know the answer too, thanks in advance. :)


If it's given that triangle ABC is right you CANNOT assume that B is a right angle, it might as well be A or C. So, the answer to this question is E.

Could you please tell me the source of the question and exact form of it as it appears in the source? Thank you.
User avatar
B
abhinashgc
Intern
Intern
Joined: 15 Aug 2013
Posts: 30
Own Kudos [?]: 2 [0]
Given Kudos: 198
Location: India
Schools: Sauder '22
GMAT 1: 640 Q44 V33
Send PM
GMAT ToolKit User Reviews Badge
Re: What is the area of right triangle ABC? [#permalink] New post   26 Aug 2017, 09:56
Hi brunel
Please correct me If I am wrong.
the question says ABC is a right angle triangle.So any of the points A, B, C will have 90 degree.

I) AB is 6 Not sufficient
II) BC is 8 Not sufficient

But when we combine 1 and 2. there will be only one possible triplet 6,8,10 will form a triangle .And neither Ab or BC will be hypotenuse.

So we can use AB and Bc to calculate the area using 1/2 *AB*BC=1/2*6*8=24

Thanks
Abhinash
User avatar
G
pushkarajnjadhav
Manager
Manager
Joined: 12 Feb 2017
Posts: 61
Own Kudos [?]: 84 [0]
Given Kudos: 48
Send PM
Re: What is the area of right triangle ABC? [#permalink] New post   26 Aug 2017, 10:05
abhinashgc wrote:
Hi brunel
Please correct me If I am wrong.
the question says ABC is a right angle triangle.So any of the points A, B, C will have 90 degree.

I) AB is 6 Not sufficient
II) BC is 8 Not sufficient

But when we combine 1 and 2. there will be only one possible triplet 6,8,10 will form a triangle .And neither Ab or BC will be hypotenuse.

So we can use AB and Bc to calculate the area using 1/2 *AB*BC=1/2*6*8=24

Thanks
Abhinash



Hii Abhinash,
but we do not know about hypotenuse.
what if BC is a hypotenuse. then the remaining 2 sides will be 6 and 2√7 . And area of a triangle will be different.
Hence E.
User avatar
B
abhinashgc
Intern
Intern
Joined: 15 Aug 2013
Posts: 30
Own Kudos [?]: 2 [0]
Given Kudos: 198
Location: India
Schools: Sauder '22
GMAT 1: 640 Q44 V33
Send PM
GMAT ToolKit User Reviews Badge
Re: What is the area of right triangle ABC? [#permalink] New post   26 Aug 2017, 10:12
pushkarajnjadhav wrote:
abhinashgc wrote:
Hi brunel
Please correct me If I am wrong.
the question says ABC is a right angle triangle.So any of the points A, B, C will have 90 degree.

I) AB is 6 Not sufficient
II) BC is 8 Not sufficient

But when we combine 1 and 2. there will be only one possible triplet 6,8,10 will form a triangle .And neither Ab or BC will be hypotenuse.

So we can use AB and Bc to calculate the area using 1/2 *AB*BC=1/2*6*8=24

Thanks
Abhinash



Hii Abhinash,
but we do not know about hypotenuse.
what if BC is a hypotenuse. then the remaining 2 sides will be 6 and 2√7 . And area of a triangle will be different.
Hence E.


Thanks for the reply
Ok. So please assume BC is hypotenuse.Hypotenous^2= sum of other two side ^2.

Can it be true that BC^2=Ac^2+Ab^2 which means in this case 8^2=10^2+6^??Which is not.
This will be same if we assume Ab as hypotenuse. Hope its clear
User avatar
G
pushkarajnjadhav
Manager
Manager
Joined: 12 Feb 2017
Posts: 61
Own Kudos [?]: 84 [1]
Given Kudos: 48
Send PM
Re: What is the area of right triangle ABC? [#permalink] New post   26 Aug 2017, 10:19
1
Bookmarks
abhinashgc wrote:
pushkarajnjadhav wrote:
abhinashgc wrote:
Hi brunel
Please correct me If I am wrong.
the question says ABC is a right angle triangle.So any of the points A, B, C will have 90 degree.

I) AB is 6 Not sufficient
II) BC is 8 Not sufficient

But when we combine 1 and 2. there will be only one possible triplet 6,8,10 will form a triangle .And neither Ab or BC will be hypotenuse.

So we can use AB and Bc to calculate the area using 1/2 *AB*BC=1/2*6*8=24

Thanks
Abhinash



Hii Abhinash,
but we do not know about hypotenuse.
what if BC is a hypotenuse. then the remaining 2 sides will be 6 and 2√7 . And area of a triangle will be different.
Hence E.


Thanks for the reply
Ok. So please assume BC is hypotenuse.Hypotenous^2= sum of other two side ^2.

Can it be true that BC^2=Ac^2+Ab^2 which means in this case 8^2=10^2+6^??Which is not.
This will be same if we assume Ab as hypotenuse. Hope its clear


see the solution given in image
Attachments

abc.jpg
abc.jpg [ 592.17 KiB | Viewed 4153 times ]

User avatar
B
abhinashgc
Intern
Intern
Joined: 15 Aug 2013
Posts: 30
Own Kudos [?]: 2 [0]
Given Kudos: 198
Location: India
Schools: Sauder '22
GMAT 1: 640 Q44 V33
Send PM
GMAT ToolKit User Reviews Badge
Re: What is the area of right triangle ABC? [#permalink] New post   26 Aug 2017, 10:25
Thanks a lot pushkarajnjadhav. I thought of only 6,8 and 10.Now its clear to me.
User avatar
B
aashishagarwal2
Intern
Intern
Joined: 04 Jul 2017
Posts: 44
Own Kudos [?]: 53 [0]
Given Kudos: 105
Location: India
Concentration: Marketing, General Management
Schools: CBS '20 Sloan '20 Johnson '20 ISB '19 Insead Sept'18 Stanford '20 Tuck '20 Yale '20 Wharton '20 HBS '20 INSEAD Jan '19
GPA: 1
WE:Analyst (Consulting)
Send PM
What is the area of right triangle ABC? [#permalink] New post   26 Aug 2017, 10:46
Bunuel wrote:
aashishagarwal2 wrote:
Data Sufficiency Geometry:

What is the area of right triangle ABC?

I) AB is 6
II) BC is 8

My first question is can we assume that B is the right angle in triangle ABC since B is written in between AB? If yes, the answer is C, or else E since multiple solutions can be found? Please let me know the answer too, thanks in advance. :)


If it's given that triangle ABC is right you CANNOT assume that B is a right angle, it might as well be A or C. So, the answer to this question is E.

Could you please tell me the source of the question and exact form of it as it appears in the source? Thank you.


Hi Bunuel,

The source is Mitul Gada's class handout. Also, the exact words are as stated in the question "What is the area of right triangle ABC?". Since, they are saying right triangle ABC, I was hoping to assume B is the right angle. But guess you're saying we can't do that?
GMAT Club Bot
gmatclubot
What is the area of right triangle ABC? [#permalink]
26 Aug 2017, 10:46
Moderator:
Bunuel
Math Expert
93024 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions