Live GMAT classes with Target Test Prep start Nov 21 and Nov 22. First class free.

See classes
Target Test Prep · GMAT

Choose how you want to prepare

Learn live with an expert or move at your own pace. Every option includes the complete TTP study system.

Newsweek Readers’ Choice Awards 2026 winner: Target Test Prep, #1 Test Prep

Target Test Prep was voted #1 Best Test Prep in the 2026 Newsweek Readers’ Choice™ Awards.

★★★★★5.0563 reviews
GMATLiveTeachStarts Nov 22
Josh Braslow, Target Test Prep GMAT expert
LIVE ONLINE CLASSES

Get Ready for GMAT Test Day Faster with Live Online Classes

with Josh Braslow, 20+ years in test prep

Nov 22 · Josh Braslow
Sun · 9:30 AM to 12:30 PM ET
Included
40 hours of live online classes + 6 months of TTP OnDemand
  • Attend the first class for free
  • Every class is recorded, so you never fall behind
View classes & enroll
Limited seats availableTarget Test Prep
EALiveTeachOnDemandStart anytime
EXECUTIVE ASSESSMENT

Target Test Prep EA OnDemand

Self-paced EA prep. Study on your schedule.

EXECUTIVE ASSESSMENT

with

165+ EA score guarantee
$05-day trial no automatic billing
Schedule
Included
40 hours of live online classes plus six months of access to the complete TTP EA OnDemand course.
  • 165+ EA Score Guarantee
  • 4,100+ Quant, Verbal, and Integrated Reasoning practice questions
  • 400+ hours of in-depth video lessons
  • 3,000+ step-by-step video solutions
View EA class & enroll Start free 5-day trial
Limited cohort · enrollment openTrial includes full course accessTarget Test Prep
GMATOnDemandStart anytime
SELF-PACED MASTERCLASS

Target Test Prep GMAT OnDemand

Complete access from day one. Study on your schedule.

715+ score guarantee
$0to start then $127/mo
  • Personalized study plan and analytics
  • Thousands of lessons and practice questions
Start free 5-day trial
Read 563 reviewsTarget Test Prep

Sandbox

Expert replies
Post new topic Post Reply
Subscribe topic
Previous Topic Next Topic
Legendary Member
Posts: 510
Joined: Thu Aug 07, 2014 2:24 amFollowed by: 5 members
Thanked: 3 times
by j_shreyans » Thu Aug 21, 2014 2:33 am
Guys ,

Pls help me out with the below problem..

If a sandbox in the shape of a right triangle has a hypotenuse of h feet, an area of a square feet, and one leg of length x feet, which of the following must be true?

1) x^2-4a^2/x^2-h^2=0
2) x^2+4a^2/x^2+h^2=0
3) x^2+4a^2/x^2-h^2=0
4) x^2+2a^2/x^2-h^2=0
5) x^2+2a^2/x^2+h^2=0

OA3

Thanks

Shreyans
Top
Join the discussion
Source: — Problem Solving |
User avatar
Legendary Member
Posts: 1100
Joined: Sat May 10, 2014 11:34 pmFollowed by: 24 members
Location: New Delhi, India
Thanked: 205 times

by GMATinsight » Thu Aug 21, 2014 7:34 am
j_shreyans wrote:Guys ,

Pls help me out with the below problem..

If a sandbox in the shape of a right triangle has a hypotenuse of h feet, an area of a square feet, and one leg of length x feet, which of the following must be true?

1) x^2-4a^2/x^2-h^2=0
2) x^2+4a^2/x^2+h^2=0
3) x^2+4a^2/x^2-h^2=0
4) x^2+2a^2/x^2-h^2=0
5) x^2+2a^2/x^2+h^2=0

OA3

Thanks

Shreyans
Answer: Option C i.e. x^2+(4a^2/x^2)-h^2=0
You do not have the required permissions to view the files attached to this post.
"GMATinsight"Bhoopendra Singh & Sushma Jha
Most Comprehensive and Affordable Video Course 2000+ CONCEPT Videos and Video Solutions
Whatsapp/Mobile: +91-9999687183 l [email protected]
Contact for One-on-One FREE ONLINE DEMO Class Call/e-mail
Most Efficient and affordable One-On-One Private tutoring fee - US$40-50 per hour
Top
Join the discussion

GMAT/MBA Expert

User avatar
Elite Legendary Member
Posts: 10391
Joined: Sun Jun 23, 2013 6:38 pmFollowed by: 511 members
Location: Palo Alto, CA
Thanked: 2867 times
GMAT Score:800

by [email protected] » Thu Aug 21, 2014 8:54 am
Hi j_shreyans,

This question is perfect for TESTing Values:

We're dealing with a RIGHT TRIANGLE and we're given the variables…

H = hypoteneuse
X = one of the legs
A = area of the triangle

Let's choose a 3/4/5 right triangle…

H = 5
X = 3
A = (1/2)(3)(4) = 6

Now we just have to test those values in the answers and find the one that's true…

A) 9 - 144/9 - 25 = something negative (not 0)
B) 9 + 144/9 + 25 = something positive (not 0)
C) 9 + 144/9 - 25 = 0
D) 9 + 72/9 - 25 = -8
E) 9 + 72/9 + 25 = something positive (not 0)

Final Answer: C

GMAT assassins aren't born, they're made,
Rich
Contact Rich at [email protected]
Image
Top
Join the discussion
GMAT Instructor
Posts: 2629
Joined: Wed Sep 12, 2012 3:32 pmFollowed by: 119 members
Location: East Bay all the way
Thanked: 625 times
GMAT Score:780

by Matt@VeritasPrep » Thu Aug 21, 2014 2:46 pm
Algebraically ...

Let's call the two legs b and x.

We know that

b² + x² = h²,
(b*x)/2 = a

Since all of the answers are equal to 0 and do NOT include the variable b, we'll try to combine these so b goes away and the whole thing equals 0.

From the first equation,
b² + x² - h² = 0

From the second,
b = (2a)/x

Substituting (2a)/x for b in the first equation ...

((2a)/x)² + x² - h² = 0
4a²/x² + x² - h² = 0

So C.
Top
Join the discussion