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

 It is currently 20 Oct 2019, 00:15

### 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

# In a triangle ABC where ∠B is a right angle:

Author Message
TAGS:

### Hide Tags

Director
Status: Manager
Joined: 27 Oct 2018
Posts: 681
Location: Egypt
GPA: 3.67
WE: Pharmaceuticals (Health Care)
In a triangle ABC where ∠B is a right angle:  [#permalink]

### Show Tags

03 Jan 2019, 15:29
3
00:00

Difficulty:

45% (medium)

Question Stats:

68% (02:47) correct 32% (02:22) wrong based on 33 sessions

### HideShow timer Statistics

In a triangle ABC where ∠B is a right angle: side AB has a length of x units, side AC has a length of 12 units, and side BC has a length of x + 8 units. What is the area of ABC in square units?

A. 10
B. 15
C. 16.5
D. 20
E. 22

_________________
Thanks for Kudos
Math Expert
Joined: 02 Aug 2009
Posts: 7988
Re: In a triangle ABC where ∠B is a right angle:  [#permalink]

### Show Tags

03 Jan 2019, 19:50
2
Mahmoudfawzy83 wrote:
In a triangle ABC where ∠B is a right angle: side AB has a length of x units, side AC has a length of 12 units, and side BC has a length of x + 8 units. What is the area of ABC in square units?

A. 10
B. 15
C. 16.5
D. 20
E. 22

So angle B is 90, so the side opposite to it, AC is hypotenuse..
With sides x, x+8 and 12...
$$x^2+(x+8)^2=12^2......x^2+x^2+16x+64=144.......x^2+8x=40.....x (x+8)=40$$

The area of this triangle is $$\frac{1}{2}*x(x+8)=\frac{40}{2}=20$$

D
_________________
Re: In a triangle ABC where ∠B is a right angle:   [#permalink] 03 Jan 2019, 19:50
Display posts from previous: Sort by