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

 It is currently 23 Sep 2018, 17:08

### 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

# Triangle ABC is a right triangle. D is the midpoint of hypotenuse AC

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
Intern
Joined: 24 Sep 2015
Posts: 4
Triangle ABC is a right triangle. D is the midpoint of hypotenuse AC  [#permalink]

### Show Tags

Updated on: 25 Sep 2015, 20:34
3
00:00

Difficulty:

95% (hard)

Question Stats:

52% (02:15) correct 48% (01:35) wrong based on 46 sessions

### HideShow timer Statistics

Triangle ABC is a right triangle. D is the midpoint of hypotenuse AC. BE is tangent to DC. What is DE?

1) AB=12
2) BE=9

Can someone please help me with this question??

Thank you!!

Originally posted by cjcj on 25 Sep 2015, 20:09.
Last edited by ENGRTOMBA2018 on 25 Sep 2015, 20:34, edited 1 time in total.
Renamed the topic and added the OA.
Math Expert
Joined: 02 Aug 2009
Posts: 6802
Re: Triangle ABC is a right triangle. D is the midpoint of hypotenuse AC  [#permalink]

### Show Tags

25 Sep 2015, 20:31
cjcj wrote:
Triangle ABC is a right triangle. D is the midpoint of hypotenuse AC. BE is tangent to DC. What is DE?

1) AB=12
2) BE=9

Can someone please help me with this question??

Thank you!!

Hi,
i believe the answer should be C....
the answer cannot be A,B or D as a single value cannot deduce any other value here..
in any right triangle with two sides given, where two sides could be any altitude or one side, two sides etc... most of the values can be deduced..
here too, all three sides can be found with given two values.. hypotenuse comes out as a negative value or 36..
so it is 36, lly other values can be deuced...
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

GMAT online Tutor

Intern
Joined: 24 Sep 2015
Posts: 4
Re: Triangle ABC is a right triangle. D is the midpoint of hypotenuse AC  [#permalink]

### Show Tags

25 Sep 2015, 21:18
How do you get the 36 number? Sorry...
Math Expert
Joined: 02 Aug 2009
Posts: 6802
Re: Triangle ABC is a right triangle. D is the midpoint of hypotenuse AC  [#permalink]

### Show Tags

26 Sep 2015, 03:09
cjcj wrote:
How do you get the 36 number? Sorry...

1)let hyp AC=x, so BC=x^2-12^2, AB is given as 12...
so $$area = 12*\sqrt{x^2-12^2}/2$$

2) now if hyp is taken as base the alt BE is given as 9..
so area will be 9*x/2..

the areas have to be same..
$$9*\frac{x}{2}=12*\sqrt{x^2-12^2}/2$$
you will get x as$$\frac{48}{\sqrt{7}}$$
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

GMAT online Tutor

Intern
Joined: 06 Oct 2013
Posts: 45
Re: Triangle ABC is a right triangle. D is the midpoint of hypotenuse AC  [#permalink]

### Show Tags

10 Oct 2015, 03:15
Can anyone please draw a figure for this question?
DS Forum Moderator
Joined: 27 Oct 2017
Posts: 729
Location: India
Concentration: International Business, General Management
GPA: 3.64
WE: Business Development (Energy and Utilities)
Re: Triangle ABC is a right triangle. D is the midpoint of hypotenuse AC  [#permalink]

### Show Tags

30 Mar 2018, 10:29
What is meant by "BE is tangent to DC"?

Please explain

chetan2u wrote:
cjcj wrote:
Triangle ABC is a right triangle. D is the midpoint of hypotenuse AC. BE is tangent to DC. What is DE?

1) AB=12
2) BE=9

Can someone please help me with this question??

Thank you!!

Hi,
i believe the answer should be C....
the answer cannot be A,B or D as a single value cannot deduce any other value here..
in any right triangle with two sides given, where two sides could be any altitude or one side, two sides etc... most of the values can be deduced..
here too, all three sides can be found with given two values.. hypotenuse comes out as a negative value or 36..
so it is 36, lly other values can be deuced...

_________________
Manager
Joined: 09 Aug 2017
Posts: 193
Re: Triangle ABC is a right triangle. D is the midpoint of hypotenuse AC  [#permalink]

### Show Tags

30 Mar 2018, 17:18
BE is tangent to DC...what does this mean?
Is BE is arc and where does E lie?
Re: Triangle ABC is a right triangle. D is the midpoint of hypotenuse AC &nbs [#permalink] 30 Mar 2018, 17:18
Display posts from previous: Sort by

# Triangle ABC is a right triangle. D is the midpoint of hypotenuse AC

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

## Events & Promotions

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.