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

 It is currently 24 Mar 2019, 16:37

### 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

# If the hypotenuse of the triangle in the figure has a length of 9, wha

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 53801
If the hypotenuse of the triangle in the figure has a length of 9, wha  [#permalink]

### Show Tags

13 Feb 2019, 01:03
00:00

Difficulty:

45% (medium)

Question Stats:

60% (01:27) correct 40% (01:18) wrong based on 40 sessions

### HideShow timer Statistics

If the hypotenuse of the triangle in the figure has a length of 9, what is x?

(A) 4.5

(B) 6

(C) $$\sqrt{40.5}$$

(D) $$\sqrt{45}$$

(E) $$\sqrt{162}$$

Attachment:

2019-02-13_1201.png [ 5.62 KiB | Viewed 453 times ]

_________________
SVP
Joined: 18 Aug 2017
Posts: 2458
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
If the hypotenuse of the triangle in the figure has a length of 9, wha  [#permalink]

### Show Tags

Updated on: 13 Feb 2019, 05:55
Bunuel wrote:
If the hypotenuse of the triangle in the figure has a length of 9, what is x?

(A) 4.5

(B) 6

(C) $$\sqrt{40.5}$$

(D) $$\sqrt{45}$$

(E) $$\sqrt{162}$$

45:45:90
x:x:x√2

x√2=9
x= 9/√2 = ~6 IMO C
_________________
If you liked my solution then please give Kudos. Kudos encourage active discussions.

Originally posted by Archit3110 on 13 Feb 2019, 05:28.
Last edited by Archit3110 on 13 Feb 2019, 05:55, edited 2 times in total.
Math Expert
Joined: 02 Sep 2009
Posts: 53801
Re: If the hypotenuse of the triangle in the figure has a length of 9, wha  [#permalink]

### Show Tags

13 Feb 2019, 05:40
Archit3110 wrote:
Bunuel wrote:
If the hypotenuse of the triangle in the figure has a length of 9, what is x?

(A) 4.5

(B) 6

(C) $$\sqrt{40.5}$$

(D) $$\sqrt{45}$$

(E) $$\sqrt{162}$$

Bunuel
figure is missing.

________________________
Fixed that. Thank you.
_________________
VP
Joined: 09 Mar 2018
Posts: 1007
Location: India
Re: If the hypotenuse of the triangle in the figure has a length of 9, wha  [#permalink]

### Show Tags

13 Feb 2019, 05:50
Bunuel wrote:

If the hypotenuse of the triangle in the figure has a length of 9, what is x?

(A) 4.5

(B) 6

(C) $$\sqrt{40.5}$$

(D) $$\sqrt{45}$$

(E) $$\sqrt{162}$$

Attachment:
2019-02-13_1201.png

IMO C

$$x^2 + x^2 = 81$$
2$$x^2$$ = 81

x = 9/ root2

x = 4.5 * root2

x ~ 6.4
_________________
If you notice any discrepancy in my reasoning, please let me know. Lets improve together.

Quote which i can relate to.
Many of life's failures happen with people who do not realize how close they were to success when they gave up.
Director
Joined: 06 Jan 2015
Posts: 605
Location: India
Concentration: Operations, Finance
GPA: 3.35
WE: Information Technology (Computer Software)
Re: If the hypotenuse of the triangle in the figure has a length of 9, wha  [#permalink]

### Show Tags

13 Feb 2019, 06:30
Bunuel wrote:

If the hypotenuse of the triangle in the figure has a length of 9, what is x?

(A) 4.5

(B) 6

(C) $$\sqrt{40.5}$$

(D) $$\sqrt{45}$$

(E) $$\sqrt{162}$$

Attachment:
2019-02-13_1201.png

As it is isosceles right angle triangle x=hypotenuse/sqrt(2)

Hence $$x=9/\sqrt{2}$$ ==> 6.3

Hence C
_________________
आत्मनॊ मोक्षार्थम् जगद्धिताय च

Resource: GMATPrep RCs With Solution
Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 5409
Location: United States (CA)
Re: If the hypotenuse of the triangle in the figure has a length of 9, wha  [#permalink]

### Show Tags

15 Feb 2019, 18:26
Bunuel wrote:

If the hypotenuse of the triangle in the figure has a length of 9, what is x?

(A) 4.5

(B) 6

(C) $$\sqrt{40.5}$$

(D) $$\sqrt{45}$$

(E) $$\sqrt{162}$$

Attachment:
2019-02-13_1201.png

Using the Pythagorean theorem, we can create the equation:

x^2 + x^2 = 9^2

2x^2 = 81

x^2 = 40.5

x = √40.5

_________________

# Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

Re: If the hypotenuse of the triangle in the figure has a length of 9, wha   [#permalink] 15 Feb 2019, 18:26
Display posts from previous: Sort by