November 22, 2018 November 22, 2018 10:00 PM PST 11:00 PM PST Mark your calendars  All GMAT Club Tests are free and open November 22nd to celebrate Thanksgiving Day! Access will be available from 0:01 AM to 11:59 PM, Pacific Time (USA) November 23, 2018 November 23, 2018 10:00 PM PST 11:00 PM PST Practice the one most important Quant section  Integer properties, and rapidly improve your skills.
Author 
Message 
TAGS:

Hide Tags

Intern
Joined: 06 May 2016
Posts: 37

Re: M0412
[#permalink]
Show Tags
14 Sep 2016, 04:58
Hi Bunuel, I still feel B doesn't necessarily need to be the right angle I considered this scenario A D   CB ACB is right angled at C and D doesn't coincide with A and BD is height of the triangle ABC. AB is hypotenus. Please explain thanks!



Intern
Joined: 06 May 2016
Posts: 37

Re: M0412
[#permalink]
Show Tags
14 Sep 2016, 05:01
D is right above B somehow posting is trimming the space between A and D



Current Student
Joined: 28 Aug 2016
Posts: 90
Concentration: Strategy, General Management

Re: M0412
[#permalink]
Show Tags
28 Sep 2016, 05:58
I totally missed the part about A, B, C, and D each being a distinct point on a plane. I was like, "how do we know that angle B is 90 degrees?" then when I finally saw the word "distinct," everything clicked.



Math Expert
Joined: 02 Sep 2009
Posts: 50711

Re: M0412
[#permalink]
Show Tags
09 Feb 2017, 00:34



Current Student
Joined: 31 Mar 2013
Posts: 7
Location: India
GPA: 3.12

Re M0412
[#permalink]
Show Tags
21 May 2017, 18:33
I think this the explanation isn't clear enough, please elaborate. When the 2nd statement says "The product of the nonhypotenuse sides of triangle ABC is equal to 24", can it not mean that the product of BD*AC =24 or BD*CB = 24. As BD is part of the triangle ABC. I think I overthought this question!



Math Expert
Joined: 02 Sep 2009
Posts: 50711

Re: M0412
[#permalink]
Show Tags
21 May 2017, 19:03



Intern
Joined: 24 Jan 2013
Posts: 1

Re: M0412
[#permalink]
Show Tags
04 Dec 2017, 21:32
In the second statement, it says the product of 2 non hypotenuse sides is 24. Then in that case, it can have multiple answers such as 2*12, 3*8, 4*6. With help of statement 1, we can say that AB*AC is 6*4 only. Hence, my doubt is, why cant the answer be C ?



Math Expert
Joined: 02 Sep 2009
Posts: 50711

Re: M0412
[#permalink]
Show Tags
04 Dec 2017, 21:48
chetanb12 wrote: In the second statement, it says the product of 2 non hypotenuse sides is 24. Then in that case, it can have multiple answers such as 2*12, 3*8, 4*6. With help of statement 1, we can say that AB*AC is 6*4 only. Hence, my doubt is, why cant the answer be C ? The question asks to find the value of AB*BC. (2) says that AB*BC = 24. We have our answer! Does it matter whether it's 1*24, 1/2*48, 500*24/500, or anything else?
_________________
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? Extrahard Quant Tests with Brilliant Analytics



Manager
Joined: 30 Dec 2016
Posts: 232
GPA: 4
WE: Business Development (Other)

Re: M0412
[#permalink]
Show Tags
01 Jan 2018, 05:28
Hi Bunuel.
Statement 2 says that the product of non hypotenuse sides is 24. Why are we not considering BD here?
Can among AB, BC or BD, any of the two sides be non hypotenuse side ?
Happy new Year.
Regards



Math Expert
Joined: 02 Sep 2009
Posts: 50711

Re: M0412
[#permalink]
Show Tags
01 Jan 2018, 05:31



Manager
Joined: 30 Dec 2016
Posts: 232
GPA: 4
WE: Business Development (Other)

Re: M0412
[#permalink]
Show Tags
01 Jan 2018, 05:35
Bunuel wrote: sandysilva wrote: Hi Bunuel.
Statement 2 says that the product of non hypotenuse sides is 24. Why are we not considering BD here?
Can among AB, BC or BD, any of the two sides be non hypotenuse side ?
Happy new Year.
Regards (2) says: The product of the nonhypotenuse sides of triangle ABC is equal to 24. In triangle ABC, AC is hypotenuse, so nonhypotenuse sides are AB and BC. I think this is shown/explained on previous two pages several times. Thank you for your prompt reply. Sorry! I might have missed to check thoroughly.
_________________
Regards SandySilva
____________ Please appreciate the efforts by pressing +1 KUDOS (:



Intern
Joined: 31 Mar 2017
Posts: 4

Re M0412
[#permalink]
Show Tags
09 Jan 2018, 19:21
I think this is a highquality question and the explanation isn't clear enough, please elaborate. Hi, in this right angled triangle we can take AB or BC as the height ? why are we taking another height BD? im also not clear how we know that B must be the right angle if BD is the height?kindly explain im really confused. Thanks a lot in advance.



Math Expert
Joined: 02 Sep 2009
Posts: 50711

Re: M0412
[#permalink]
Show Tags
09 Jan 2018, 19:53



Manager
Joined: 16 Jan 2018
Posts: 57
Concentration: Finance, Technology

Re: M0412
[#permalink]
Show Tags
22 Jan 2018, 18:27
wow.. "distinct points" made all the difference and drawing the triangle is the trick, excellent question and OA!!



Intern
Joined: 08 Jan 2018
Posts: 3

Re: M0412
[#permalink]
Show Tags
26 Jan 2018, 00:55
I don't understand why 2) alone is sufficient? AB*AC=24 > could be 3*8 or 8*3 or 4*6 or 6*4?
Please explain me, when I am wrong.



Math Expert
Joined: 02 Sep 2009
Posts: 50711

Re: M0412
[#permalink]
Show Tags
26 Jan 2018, 00:58



Manager
Joined: 09 Jun 2014
Posts: 193
Location: India
Concentration: General Management, Operations

Re: M0412
[#permalink]
Show Tags
28 Oct 2018, 22:35
Bunuel wrote: ishitathukral wrote: first option says AB =6 doesnt it imply that the sides are 6,8,10? No. Knowing that one side of a right triangle is 6 DOES NOT mean that the sides of the right triangle necessarily must be in the ratio of Pythagorean triple  6:8:10. Or in other words: if \(6^2+y^2=z^2\) DOES NOT mean that \(y=8\) and \(z=10\). Certainly this is one of the possibilities but definitely not the only one. In fact \(6^2+y^2=z^2\) has infinitely many solutions for \(y\) and \(z\) and only one of them is \(y=8\) and \(z=10\). For example: \(y=1\) and \(z=\sqrt{37}\) or \(y=2\) and \(z=\sqrt{40}\)... Thanks Bunnel for the nice explanation Bunnel/Chetan I have a query, If vertices are said to be integers then ,will that follow the pythogorean triplet like 6,8,10 and answer change. Thanks







Go to page
Previous
1 2
[ 37 posts ]



