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

It is currently 23 Feb 2019, 16:09

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 in February
PrevNext
SuMoTuWeThFrSa
272829303112
3456789
10111213141516
17181920212223
242526272812
Open Detailed Calendar
  • FREE Quant Workshop by e-GMAT!

     February 24, 2019

     February 24, 2019

     07:00 AM PST

     09:00 AM PST

    Get personalized insights on how to achieve your Target Quant Score.
  • Free GMAT RC Webinar

     February 23, 2019

     February 23, 2019

     07:00 AM PST

     09:00 AM PST

    Learn reading strategies that can help even non-voracious reader to master GMAT RC. Saturday, February 23rd at 7 AM PT

∆ABC is a right-angled isosceles triangle, and ∠B is the right angle

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

Hide Tags

 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 53066
∆ABC is a right-angled isosceles triangle, and ∠B is the right angle  [#permalink]

Show Tags

New post 09 Oct 2018, 00:37
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

93% (01:00) correct 7% (00:26) wrong based on 57 sessions

HideShow timer Statistics

∆ABC is a right-angled isosceles triangle, and ∠B is the right angle in the triangle. If AC measures \(7√2\), then which one of the following would equal the lengths of AB and BC, respectively?

(A) 7, 7
(B) 9, 9
(C) 10, 10
(D) 11, 12
(E) 7, 12

_________________

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

CEO
CEO
User avatar
P
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2799
Location: India
GMAT: INSIGHT
Schools: Darden '21
WE: Education (Education)
Reviews Badge
∆ABC is a right-angled isosceles triangle, and ∠B is the right angle  [#permalink]

Show Tags

New post Updated on: 09 Oct 2018, 03:24
1
Bunuel wrote:
∆ABC is a right-angled isosceles triangle, and ∠B is the right angle in the triangle. If AC measures 72√72 , then which one of the following would equal the lengths of AB and BC, respectively?

(A) 7, 7
(B) 9, 9
(C) 10, 10
(D) 11, 12
(E) 7, 12


\(AC = Hypotenuse = a√2 = 7√2\) where \(a\) is the side of the triangle i.e. \(AB = BC = a\)

i.e. \(Side, a = 7 =AB = BC\)

Answer: Option A
_________________

Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION


Originally posted by GMATinsight on 09 Oct 2018, 03:16.
Last edited by GMATinsight on 09 Oct 2018, 03:24, edited 1 time in total.
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 53066
Re: ∆ABC is a right-angled isosceles triangle, and ∠B is the right angle  [#permalink]

Show Tags

New post 09 Oct 2018, 03:21
GMATinsight wrote:
Bunuel wrote:
∆ABC is a right-angled isosceles triangle, and ∠B is the right angle in the triangle. If AC measures 72√72 , then which one of the following would equal the lengths of AB and BC, respectively?

(A) 7, 7
(B) 9, 9
(C) 10, 10
(D) 11, 12
(E) 7, 12


\(AC = Hypotenuse = a√2 = 72√72\)

i.e. \(Side, a = 72*6 = 432\)

Bunuel As per the given information my answer seems correct but I am sure there is a little type error here. :)


Copy/paste issue. It's \(7√2\), not \(72√72\). Edited. Thank you.
_________________

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

Director
Director
avatar
G
Joined: 19 Oct 2013
Posts: 508
Location: Kuwait
GPA: 3.2
WE: Engineering (Real Estate)
GMAT ToolKit User
Re: ∆ABC is a right-angled isosceles triangle, and ∠B is the right angle  [#permalink]

Show Tags

New post 09 Oct 2018, 04:04
Bunuel wrote:
∆ABC is a right-angled isosceles triangle, and ∠B is the right angle in the triangle. If AC measures \(7√2\), then which one of the following would equal the lengths of AB and BC, respectively?

(A) 7, 7
(B) 9, 9
(C) 10, 10
(D) 11, 12
(E) 7, 12


A right angled isosceles would be 45:45:90

45:45:90 would be x:x:x\(\sqrt{2}\)

x\(\sqrt{2}\) = 7\(\sqrt{2}\)
making x be 7

so it would be 7,7

Answer choice A
Board of Directors
User avatar
P
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4391
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
GMAT ToolKit User Premium Member CAT Tests
Re: ∆ABC is a right-angled isosceles triangle, and ∠B is the right angle  [#permalink]

Show Tags

New post 09 Oct 2018, 07:21
Bunuel wrote:
∆ABC is a right-angled isosceles triangle, and ∠B is the right angle in the triangle. If AC measures \(7√2\), then which one of the following would equal the lengths of AB and BC, respectively?

(A) 7, 7
(B) 9, 9
(C) 10, 10
(D) 11, 12
(E) 7, 12


The Triangle is Right angled at B = AC is the Hypotenuse = \(7√2\)

The hypotenuse of a Right isosceles triangle is \(a√2\) = \(7√2\)

Thus, \(a = 7\), Answer must be (A) 7,7
_________________

Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )

Target Test Prep Representative
User avatar
P
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 4972
Location: United States (CA)
Re: ∆ABC is a right-angled isosceles triangle, and ∠B is the right angle  [#permalink]

Show Tags

New post 12 Oct 2018, 06:52
Bunuel wrote:
∆ABC is a right-angled isosceles triangle, and ∠B is the right angle in the triangle. If AC measures \(7√2\), then which one of the following would equal the lengths of AB and BC, respectively?

(A) 7, 7
(B) 9, 9
(C) 10, 10
(D) 11, 12
(E) 7, 12


A 45-45-90 right triangle has side ratios of x : x : x√2,where x√2 is the length of the hypotenuse. We see that triangle ABC can have sides of 7, 7, and 7√2.

Answer: A
_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Manager
Manager
User avatar
G
Joined: 06 Sep 2018
Posts: 175
Location: Pakistan
Concentration: Finance, Operations
GPA: 2.87
WE: Engineering (Other)
GMAT ToolKit User Premium Member Reviews Badge
Re: ∆ABC is a right-angled isosceles triangle, and ∠B is the right angle  [#permalink]

Show Tags

New post 13 Oct 2018, 00:53
according to given information its a \(90-45-45\) triangle with 90 at B.
length of opposite side to 90 degree is given \((7\sqrt{2})\)
as lengths of sides in \(90-45-45\) triangle are \(\sqrt{2}x,x,x\)
So side lengths of other two sides are \(7\sqrt{2}/\sqrt{2}=7\)
_________________

Hitting Kudos is the best way of appreciation. :)

Eric Thomas, "When you want to succeed as bad as you want to breathe, then you'll be successful."

GMAT Club Bot
Re: ∆ABC is a right-angled isosceles triangle, and ∠B is the right angle   [#permalink] 13 Oct 2018, 00:53
Display posts from previous: Sort by

∆ABC is a right-angled isosceles triangle, and ∠B is the right angle

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


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| 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®.