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

 It is currently 17 Oct 2018, 03:35

### 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

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

# What is the area of the triangle ABC?

Author Message
TAGS:

### Hide Tags

Manager
Joined: 03 Mar 2018
Posts: 182
What is the area of the triangle ABC?  [#permalink]

### Show Tags

15 Mar 2018, 11:54
2
2
00:00

Difficulty:

85% (hard)

Question Stats:

35% (01:57) correct 65% (01:33) wrong based on 41 sessions

### HideShow timer Statistics

What is the area of the triangle ABC?
Attachment:

Capture1.JPG [ 19.72 KiB | Viewed 326 times ]

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

_________________

Senior PS Moderator
Joined: 26 Feb 2016
Posts: 3182
Location: India
GPA: 3.12
What is the area of the triangle ABC?  [#permalink]

### Show Tags

15 Mar 2018, 12:38
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

What is the area of the triangle ABC? &nbs [#permalink] 15 Mar 2018, 12:38
Display posts from previous: Sort by