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

 It is currently 17 Feb 2019, 13:05

### 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

## Events & Promotions

###### Events & Promotions in February
PrevNext
SuMoTuWeThFrSa
272829303112
3456789
10111213141516
17181920212223
242526272812
Open Detailed Calendar
• ### Free GMAT Algebra Webinar

February 17, 2019

February 17, 2019

07:00 AM PST

09:00 AM PST

Attend this Free Algebra Webinar and learn how to master Inequalities and Absolute Value problems on GMAT.
• ### Valentine's day SALE is on! 25% off.

February 18, 2019

February 18, 2019

10:00 PM PST

11:00 PM PST

We don’t care what your relationship status this year - we love you just the way you are. AND we want you to crush the GMAT!

# What is the area of the above right triangle, in terms of x?

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 52906
What is the area of the above right triangle, in terms of x?  [#permalink]

### Show Tags

09 Sep 2018, 08:03
00:00

Difficulty:

15% (low)

Question Stats:

85% (01:06) correct 15% (01:26) wrong based on 51 sessions

### HideShow timer Statistics

What is the area of the above right triangle, in terms of x?

A. x^2/8

B. x^2/4

C. $$\frac{x^2\sqrt{2}}{2}$$

D. $$x^2\sqrt{2}$$

E. $$\frac{x^2\sqrt{2}}{4}$$

Attachment:

image015.jpg [ 1.5 KiB | Viewed 660 times ]

_________________
Director
Joined: 20 Feb 2015
Posts: 795
Concentration: Strategy, General Management
What is the area of the above right triangle, in terms of x?  [#permalink]

### Show Tags

09 Sep 2018, 08:19
Bunuel wrote:

What is the area of the above right triangle, in terms of x?

A. x^2/8

B. x^2/4

C. $$\frac{x^2\sqrt{2}}{2}$$

D. $$x^2\sqrt{2}$$

E. $$\frac{x^2\sqrt{2}}{4}$$

Attachment:
image015.jpg

The measure of the angles of the given triangle is surely 45:45:90
the ratio of sides of such triangle is 1:1:$$\sqrt{2}$$

now it is given that
$$\sqrt{2}$$*p = x (where p is the measure of each side)
p = x/$$\sqrt{2}$$

area =$$\frac{b*h}{2}$$ = x/$$\sqrt{2}$$* x/$$\sqrt{2}$$ * 1/2 = $$x^2$$/4
Intern
Joined: 28 Feb 2018
Posts: 1
Re: What is the area of the above right triangle, in terms of x?  [#permalink]

### Show Tags

09 Sep 2018, 08:53
as both sides of right angle triangle are equal
2*side^2=x^2
side^2=x^2/2

area of triangle=(1/2)*(side^2)
=(1/2)*((x^2)/2)=(1/4)*(x^2)
Intern
Joined: 24 Dec 2011
Posts: 28
Location: India
GPA: 4
WE: General Management (Health Care)
Re: What is the area of the above right triangle, in terms of x?  [#permalink]

### Show Tags

09 Sep 2018, 18:02
Angle 45 indicates that it is a isosceles right angle triangle in which the sides are in the ratio 1:1:√2
√2a= x
a= x/√2
area= 1/2bh
½ *(x/√2)* (x/√2)
Comes to x2/4
Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4383
Location: India
GPA: 3.5
Re: What is the area of the above right triangle, in terms of x?  [#permalink]

### Show Tags

10 Sep 2018, 06:50
Bunuel wrote:

What is the area of the above right triangle, in terms of x?

A. x^2/8

B. x^2/4

C. $$\frac{x^2\sqrt{2}}{2}$$

D. $$x^2\sqrt{2}$$

E. $$\frac{x^2\sqrt{2}}{4}$$

Attachment:
image015.jpg

The given triangle is an isosceles right-angled triangle...

So, $$a^2 + a^2 = x^2$$

Or, $$2a^2 = x^2$$

Or, $$a^2 = \frac{x^2}{2}$$

Since area of a triangle is $$\frac{1}{2}*base*Altitude$$ = $$\frac{x^2}{4}$$, Answer must be (B)
_________________

Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )

Re: What is the area of the above right triangle, in terms of x?   [#permalink] 10 Sep 2018, 06:50
Display posts from previous: Sort by