GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 11 Dec 2019, 16:01

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

What is the area of the triangle ABC?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Manager
Manager
User avatar
P
Joined: 03 Mar 2018
Posts: 204
What is the area of the triangle ABC?  [#permalink]

Show Tags

New post 15 Mar 2018, 11:54
2
4
00:00
A
B
C
D
E

Difficulty:

  95% (hard)

Question Stats:

25% (01:55) correct 75% (01:28) wrong based on 44 sessions

HideShow timer Statistics

What is the area of the triangle ABC?
Attachment:
Capture1.JPG
Capture1.JPG [ 19.72 KiB | Viewed 592 times ]


1)\(y^2\)-14y+48=0
2) \(y^2\)-16y+60=0

_________________
Please mention my name in your valuable replies.
Senior PS Moderator
User avatar
V
Joined: 26 Feb 2016
Posts: 3305
Location: India
GPA: 3.12
What is the area of the triangle ABC?  [#permalink]

Show Tags

New post 15 Mar 2018, 12:38
1
1
Using Hero's formula
Area = \(\sqrt{s(s-a)(s-b)(s-c)}\) where s = \(\frac{a+b+c}{2}\)

1)\(y^2\)-14y+48=0

On simplifying this equation
we get \(y^2 - 6y - 8y + 48 = 0\) -> \(y(y-6) - 8(y-6) = 0\) -> \((y-6)(y-8) = 0\)
Therefore, y could take the values 6 or 8.

For both the values of y for triangle ABC, the Area is 12. (Sufficient)

2) \(y^2\)-16y+60=0

On simplifying this equation,
we get \(y^2 - 10y - 6y + 60 = 0\) -> \(y(y-10) - 6(y-10) = 0\) -> \((y-6)(y-10) = 0\)
Therefore, y could take the values 6 or 10

A triangle with y = 10 is not possible.

The Area of Triangle ABC with sides a=b=5 and c=6 is 12. (Sufficient - Option D)
_________________
You've got what it takes, but it will take everything you've got
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 13742
Re: What is the area of the triangle ABC?  [#permalink]

Show Tags

New post 26 May 2019, 01:55
Hello from the GMAT Club BumpBot!

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).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
GMAT Club Bot
Re: What is the area of the triangle ABC?   [#permalink] 26 May 2019, 01:55
Display posts from previous: Sort by

What is the area of the triangle ABC?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne