BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem
TTP OnDemand GMAT Video Course
Featured Course

Target Test Prep GMAT OnDemand

Scott Woodbury-Stewart’s private virtual classroom — 400 hours of master-class video lessons for the GMAT Focus Edition.

  • 715+ score guarantee — highest in the industry (99th percentile)
  • 52 chapters · 1,500+ lessons · 4,000+ practice questions
  • 400 hours of video · 1,500+ instructor-led HD smartboard lessons
  • 300,000+ students accepted to Harvard, Stanford, Wharton, Booth & Sloan & more
  • 24/7 live support + weekly Zoom office hours with GMAT instructors
  • TTP AI Assist — 24/7 AI-powered virtual tutor for instant help
  • 1,200+ flashcards + AI-powered study assistant & daily calendar
  • OnDemand, LiveTeach & GMAT Bootcamp formats available
  • Also: GRE, SAT Math & Executive Assessment courses
  • MBA Admissions Consulting now available
  • 🏆 2025 EdTech Breakthrough Award: Test Prep Solution Provider of the Year
  • 200,000+ students served
  • 5-day free trial — $0 to start, no auto-billing, cancel anytime
★★★★★ 5.0 (559 reviews)
130-pt guarantee
$0 to start then $127/mo
Start Free 5-Day Trial Read 559 Reviews →

Isosceles to equilateral

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
Legendary Member
Posts: 941
Joined: Sun Dec 27, 2009 12:28 amFollowed by: 1 member
Thanked: 20 times
by bhumika.k.shah » Sat Feb 27, 2010 2:31 am
If the hypotenuse of isosceles right triangle ABC has the same length as the height of equilateral triangle DEF, what is the ratio of a leg of triangle ABC to a side of triangle DEF?

A. sqrt 2/ 2
B. sqrt 3/ 2
C. sqrt3/ sqrt2* (2)
D. sqrt 2 / sqrt 3
E. 3/2

Source MGMAT QB

though i got this question correct. i took a lot of time . in the OE , they have said one way to look at this sum. which is the exact same method ive done. But i donot know any other different, quicker approach.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Problem Solving |
User avatar
GMAT Instructor
Posts: 3650
Joined: Wed Jan 21, 2009 4:27 amFollowed by: 80 members
Location: India
Thanked: 267 times
GMAT Score:760

by sanju09 » Sat Feb 27, 2010 2:48 am
bhumika.k.shah wrote:If the hypotenuse of isosceles right triangle ABC has the same length as the height of equilateral triangle DEF, what is the ratio of a leg of triangle ABC to a side of triangle DEF?

A. sqrt 2/ 2
B. sqrt 3/ 2
C. sqrt3/ sqrt2* (2)
D. sqrt 2 / sqrt 3
E. 3/2

Source MGMAT QB

though i got this question correct. i took a lot of time . in the OE , they have said one way to look at this sum. which is the exact same method ive done. But i donot know any other different, quicker approach.
Let AC = h, is the hypotenuse of isosceles right triangle ABC, so that h could be the height of equilateral triangle DEF.

Now, AB = BC = h/√2 and DE = EF = FD = 2 h/√3, such that any

AB:DE = h/√2: 2 h/√3 = [spoiler]√3:2 √2[/spoiler].

[spoiler]C[/spoiler]
The mind is everything. What you think you become. -Lord Buddha



Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

www.manyagroup.com
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1