Last visit was: 25 Apr 2024, 01:17 It is currently 25 Apr 2024, 01:17

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
SORT BY:
Date
avatar
Intern
Intern
Joined: 08 May 2014
Posts: 20
Own Kudos [?]: 8 [0]
Given Kudos: 4
GPA: 3.5
Send PM
User avatar
Intern
Intern
Joined: 24 Nov 2013
Posts: 21
Own Kudos [?]: 13 [1]
Given Kudos: 1
Location: United States
GMAT 1: 720 Q46 V42
GPA: 3.7
WE:Corporate Finance (Journalism and Publishing)
Send PM
avatar
Intern
Intern
Joined: 08 May 2014
Posts: 20
Own Kudos [?]: 8 [0]
Given Kudos: 4
GPA: 3.5
Send PM
User avatar
Manager
Manager
Joined: 11 Mar 2014
Posts: 116
Own Kudos [?]: 25 [0]
Given Kudos: 14
Location: India
Concentration: Strategy, Technology
GMAT 1: 760 Q50 V41
GPA: 3.3
WE:Engineering (Other)
Send PM
Re: Veritas Practice Test - IR #7 [#permalink]
erahn1 wrote:
I think the key to this one, and to a lot of IR questions, is to look at the answers afforded to you. If JL is 260, and none of the answers are greater than 260, then JL is surely the hypotenuse.

At this point, and at every point when you are given a right triangle, you should be looking for the three common right triangles, and multiples of those angles,

3 - 4 - 5
5 - 12- 13
8 - 15 - 17

In the problem, 260 is a multiple of 13; 13*20 = 260. So just grab the 5-12-13 triangle, and just multiple each of the other sides by 20; in this case, 20*5 = 100 and 20*12 = 240.

This same approach wouldn't work if you weren't sure that 260 was the hypotenuse, but since it clearly is, I believe the triangle is necessarily a 5-12-13 triangle.


JL should be the hypotenuse here, since the triangle is right-angled at K (JKL is the right angle, not KLJ or LJK - the ordering matters I believe).
avatar
Intern
Intern
Joined: 15 Apr 2018
Posts: 2
Own Kudos [?]: 0 [0]
Given Kudos: 1
Send PM
Re: Veritas Practice Test - IR #7 [#permalink]
erahn1 wrote:
I think the key to this one, and to a lot of IR questions, is to look at the answers afforded to you. If JL is 260, and none of the answers are greater than 260, then JL is surely the hypotenuse.

At this point, and at every point when you are given a right triangle, you should be looking for the three common right triangles, and multiples of those angles,

3 - 4 - 5
5 - 12- 13
8 - 15 - 17

In the problem, 260 is a multiple of 13; 13*20 = 260. So just grab the 5-12-13 triangle, and just multiple each of the other sides by 20; in this case, 20*5 = 100 and 20*12 = 240.

This same approach wouldn't work if you weren't sure that 260 was the hypotenuse, but since it clearly is, I believe the triangle is necessarily a 5-12-13 triangle.


are these the only possible combinations for right triangle?
3 - 4 - 5
5 - 12- 13
8 - 15 - 17
GMAT Club Legend
GMAT Club Legend
Joined: 19 Dec 2014
Status:GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Posts: 21846
Own Kudos [?]: 11665 [1]
Given Kudos: 450
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Send PM
Re: Veritas Practice Test - IR #7 [#permalink]
1
Kudos
Expert Reply
Hi jainshally33,

MOST right triangles do not actually have 3 integer sides. That having been said, when a right triangle shows up on the GMAT, it's likely that the triangle is one of the commonly-tested "special" right triangles (30/60/90, 45/45/90, 3/4/5, 5/12/13). There are other right triangles with integers sides: 'multiples' of the 3/4/5 and 5/12/13 - for example, the 6/8/10 and 9/12/15 are 3/4/5s that have been "doubled" and 'tripled' respectively. There's also a relatively rare right triangle that has shown up on the Official GMAT: the 7/24/25.

GMAT assassins aren't born, they're made,
Rich
Manager
Manager
Joined: 29 Sep 2018
Posts: 73
Own Kudos [?]: 61 [0]
Given Kudos: 351
Location: India
Concentration: General Management, Operations
GMAT 1: 710 Q49 V38 (Online)
GPA: 3.5
Send PM
Re: Veritas Practice Test - IR #7 [#permalink]
Official Answer:-


JK = 240 and KL = 100.

If you notice that these answer choices form a 5 : 12 : 13 ratio (100 : 240 : 260 -- divide by 20 and you get 5 : 12 : 13), then you can fit the shorter sides to the hypotenuse without having to use the Pythagorean Theorem with such large numbers.
GMAT Club Bot
Re: Veritas Practice Test - IR #7 [#permalink]

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne