It is currently 21 Feb 2018, 09:21

Close

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

In the diagram above, line JX is parallel to line KY. If the area of t

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 43851
In the diagram above, line JX is parallel to line KY. If the area of t [#permalink]

Show Tags

New post 10 Feb 2017, 08:48
Expert's post
2
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

59% (02:06) correct 41% (01:45) wrong based on 64 sessions

HideShow timer Statistics

Image
(NOTE: Not drawn to scale)

In the diagram above, line JX is parallel to line KY. If the area of triangle KYZ is 18 square feet, what is the length of side JX?

(1) Side JZ measures \(18\sqrt{2}\)

(2) Triangle KYZ is isosceles

[Reveal] Spoiler:
Attachment:
TriangleJXZ.png
TriangleJXZ.png [ 9.05 KiB | Viewed 745 times ]
[Reveal] Spoiler: OA

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

1 KUDOS received
Director
Director
User avatar
P
Joined: 05 Mar 2015
Posts: 962
Re: In the diagram above, line JX is parallel to line KY. If the area of t [#permalink]

Show Tags

New post 10 Feb 2017, 09:29
1
This post received
KUDOS
Bunuel wrote:
Image
(NOTE: Not drawn to scale)

In the diagram above, line JX is parallel to line KY. If the area of triangle KYZ is 18 square feet, what is the length of side JX?

(1) Side JZ measures \(18\sqrt{2}\)

(2) Triangle KYZ is isosceles

[Reveal] Spoiler:
Attachment:
TriangleJXZ.png



Both triangle are AA similar
Since both have 90 deg. angle and two lines parallel
(1) no info of any sides of triangle KYZ
thus we cannot find any sides

(2) since KYZ is isosceles means its other two sides are 6 units each ( given area =18 or side^2/2=18)
but no info of bigger traingle JXZ sides

Combining we get one side of bigger JXZ triangle and we know two sides of KYZ=6units
thus all sides will be known (bigger triangle is also isosceles)
thus we can calculate the required data

Ans C
Director
Director
avatar
S
Joined: 21 Mar 2016
Posts: 551
Reviews Badge
Re: In the diagram above, line JX is parallel to line KY. If the area of t [#permalink]

Show Tags

New post 11 Feb 2017, 10:05
its a question based on ratios,, since the area of smaller traingle is given,,we can find the ratios of the sides of the triangle and hence find the area of individual triangles and thereby sides...
Senior SC Moderator
User avatar
D
Joined: 14 Nov 2016
Posts: 1277
Location: Malaysia
GMAT ToolKit User Premium Member CAT Tests
In the diagram above, line JX is parallel to line KY. If the area of t [#permalink]

Show Tags

New post 17 Feb 2017, 16:33
Bunuel wrote:
Image
(NOTE: Not drawn to scale)

In the diagram above, line JX is parallel to line KY. If the area of triangle KYZ is 18 square feet, what is the length of side JX?

(1) Side JZ measures \(18\sqrt{2}\)

(2) Triangle KYZ is isosceles

[Reveal] Spoiler:
Attachment:
TriangleJXZ.png


Official solution from Veritas Prep.

C. Before you even get to the statements, you should recognize that the two triangles in the diagram are similar. Because the sides JX and KY are parallel, and each forms a 90 degree angle with the base, you know that all angles will be the same in both triangles, meaning that if you can find the relationship between the small and large triangles, you can extrapolate their sides and areas.

Statement 1 is not sufficient, as you don't know enough about any one side of the small triangle to use the similar triangles logic at this point. And statement 2 is not sufficient, as with that information you don't know any lengths of the large triangle.

But taken together, the statements are sufficient. Knowing that the small triangle is isosceles with an area of 18 tells you that \(\frac{1}{2}*a^2=18\), meaning that the short sides are each 6 feet in length, and that the hypotenuse measures \(6\sqrt{2}\). And since the hypotenuse of the large triangle is \(18\sqrt{2}\), you can find the relationship that the sides of the large triangle are three times the sides of the smaller triangle, making the length of side \(JX = 18\).
_________________

"Be challenged at EVERY MOMENT."

“Strength doesn’t come from what you can do. It comes from overcoming the things you once thought you couldn’t.”

"Each stage of the journey is crucial to attaining new heights of knowledge."

Rules for posting in verbal forum | Please DO NOT post short answer in your post!

In the diagram above, line JX is parallel to line KY. If the area of t   [#permalink] 17 Feb 2017, 16:33
Display posts from previous: Sort by

In the diagram above, line JX is parallel to line KY. If the area of t

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


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

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®.