NEW HERE? LEARN MORE
closeclose
Last visit was: 26 Apr 2024, 19:09 It is currently 26 Apr 2024, 19:09
Decision Tracker
My Rewards
New posts
New comers' posts

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

The area of a right triangle whose sides are 6, 8, and 10 is how many

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92948
Own Kudos [?]: 619248 [3]
Given Kudos: 81609
Send PM
CAT Tests Forum Quiz Mode
The area of a right triangle whose sides are 6, 8, and 10 is how many [#permalink] New post   29 Nov 2018, 01:21
3
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

15% (low)

Question Stats:

73% (00:38) correct 27% (00:32) wrong based on 78 sessions
Hide Show timer Statistics
The area of a right triangle whose sides are 6, 8, and 10 is how many times the area of a right triangle whose sides are 3, 4, and 5?

A. 2
B. 3
C. 4
D. 6
E. 8
ShowHide Answer
Official Answer
C
avatar
B
BabuMoshaaai
Intern
Intern
Joined: 12 Mar 2015
Status:It ain't over 'til it's over.
Posts: 23
Own Kudos [?]: 28 [2]
Given Kudos: 32
Location: Germany
Concentration: General Management, Strategy
Schools: ISB'22 (S) IIMA PGPX'22 (A) IIMB EPGP'22 (I) Kelley '23 (S)
Send PM
Re: The area of a right triangle whose sides are 6, 8, and 10 is how many [#permalink] New post   15 Dec 2018, 12:52
2
Kudos
seeker14 wrote:
sreejitb wrote:
Semi Perimeter of First Triangle = (6 + 8 + 10)/2 = 12
Area = \sqrt{S (S-6)(S-8)(S-10)} = 24.

Semi Perimeter of First Triangle = (3 + 4 + 5)/2 = 6
Area = \sqrt{S (S-3)(S-4)(S-5)} = 6.

Ratio of Areas = 24/6 = 4.

Hence, C.


Could you please explain the use of the formula in detail? Because I think this is a better use of we do not know what side of the triangle is base and what is the height. In this case we had popular combinations of sides.


This is what is called the "Heron's Formula". This formula gives us the area of a triangle when the length of all three sides are known.
Let the 3 sides of a triangle be of length a, b and c.
Hence perimeter (P) = a + b + c
Semi Perimeter (P/2) = (a + b + c)/2. Say "S".

Hence Area (A) of the triangle will be:

A = \sqrt{S(S-a) (S-b) (s-c)}
avatar
B
BabuMoshaaai
Intern
Intern
Joined: 12 Mar 2015
Status:It ain't over 'til it's over.
Posts: 23
Own Kudos [?]: 28 [1]
Given Kudos: 32
Location: Germany
Concentration: General Management, Strategy
Schools: ISB'22 (S) IIMA PGPX'22 (A) IIMB EPGP'22 (I) Kelley '23 (S)
Send PM
Re: The area of a right triangle whose sides are 6, 8, and 10 is how many [#permalink] New post   29 Nov 2018, 03:57
1
Kudos
Semi Perimeter of First Triangle = (6 + 8 + 10)/2 = 12
Area = \sqrt{S (S-6)(S-8)(S-10)} = 24.

Semi Perimeter of First Triangle = (3 + 4 + 5)/2 = 6
Area = \sqrt{S (S-3)(S-4)(S-5)} = 6.

Ratio of Areas = 24/6 = 4.

Hence, C.
avatar
B
rahulsinha2103
Intern
Intern
Joined: 21 Aug 2015
Posts: 13
Own Kudos [?]: 9 [0]
Given Kudos: 8
Location: India
Concentration: Strategy, Technology
GMAT 1: 680 Q49 V32
GPA: 3.4
WE:Information Technology (Consulting)
Send PM
The area of a right triangle whose sides are 6, 8, and 10 is how many [#permalink] New post   Updated on: 29 Nov 2018, 21:18
Area of triangle with sides 6,8,10 = 0.5 * 6 * 8 = 24. Area of triangle with sides 3,4,5 = 0.5 * 3 * 4 = 6. Ratio = 24/6 = 4.(Option C)

Originally posted by rahulsinha2103 on 29 Nov 2018, 01:41.
Last edited by rahulsinha2103 on 29 Nov 2018, 21:18, edited 1 time in total.
User avatar
L
Archit3110
GMAT Club Legend
GMAT Club Legend
Joined: 18 Aug 2017
Status:You learn more from failure than from success.
Posts: 8020
Own Kudos [?]: 4098 [0]
Given Kudos: 242
Location: India
Concentration: Sustainability, Marketing
GMAT Focus 1:
545 Q79 V79 DI73
GPA: 4
WE:Marketing (Energy and Utilities)
Send PM
GMAT ToolKit User CAT Tests
Re: The area of a right triangle whose sides are 6, 8, and 10 is how many [#permalink] New post   29 Nov 2018, 04:17
Bunuel wrote:
The area of a right triangle whose sides are 6, 8, and 10 is how many times the area of a right triangle whose sides are 3, 4, and 5?

A. 2
B. 3
C. 4
D. 6
E. 8




so area of the triangle would be
1/2*6*8= 24 and 1/2*4*3 = 6 which is 4 times IMO C
avatar
B
seeker14
Intern
Intern
Joined: 24 Jan 2017
Posts: 9
Own Kudos [?]: 5 [0]
Given Kudos: 159
Send PM
The area of a right triangle whose sides are 6, 8, and 10 is how many [#permalink] New post   Updated on: 15 Dec 2018, 14:22
sreejitb wrote:
Semi Perimeter of First Triangle = (6 + 8 + 10)/2 = 12
Area = \sqrt{S (S-6)(S-8)(S-10)} = 24.

Semi Perimeter of First Triangle = (3 + 4 + 5)/2 = 6
Area = \sqrt{S (S-3)(S-4)(S-5)} = 6.

Ratio of Areas = 24/6 = 4.

Hence, C.


Could you please explain the use of the formula in detail? Because I think this is a better use if we do not know what side of the triangle is base and what is the height. In this case we had popular combinations of sides.

Originally posted by seeker14 on 15 Dec 2018, 12:02.
Last edited by seeker14 on 15 Dec 2018, 14:22, edited 1 time in total.
avatar
B
seeker14
Intern
Intern
Joined: 24 Jan 2017
Posts: 9
Own Kudos [?]: 5 [0]
Given Kudos: 159
Send PM
Re: The area of a right triangle whose sides are 6, 8, and 10 is how many [#permalink] New post   15 Dec 2018, 14:22
sreejitb wrote:
seeker14 wrote:
sreejitb wrote:
Semi Perimeter of First Triangle = (6 + 8 + 10)/2 = 12
Area = \sqrt{S (S-6)(S-8)(S-10)} = 24.

Semi Perimeter of First Triangle = (3 + 4 + 5)/2 = 6
Area = \sqrt{S (S-3)(S-4)(S-5)} = 6.

Ratio of Areas = 24/6 = 4.

Hence, C.


Could you please explain the use of the formula in detail? Because I think this is a better use of we do not know what side of the triangle is base and what is the height. In this case we had popular combinations of sides.


This is what is called the "Heron's Formula". This formula gives us the area of a triangle when the length of all three sides are known.
Let the 3 sides of a triangle be of length a, b and c.
Hence perimeter (P) = a + b + c
Semi Perimeter (P/2) = (a + b + c)/2. Say "S".

Hence Area (A) of the triangle will be:

A = \sqrt{S(S-a) (S-b) (s-c)}


Oh great thank you! A formula very less popular but can help in a trap.
User avatar
L
Kinshook
GMAT Club Legend
GMAT Club Legend
Joined: 03 Jun 2019
Posts: 5344
Own Kudos [?]: 3968 [0]
Given Kudos: 160
Location: India
Schools: HBS '22 CBS '22 Wharton '22
GMAT 1: 690 Q50 V34
WE:Engineering (Transportation)
Send PM
Reviews Badge
Re: The area of a right triangle whose sides are 6, 8, and 10 is how many [#permalink] New post   21 Jul 2020, 10:49
Bunuel wrote:
The area of a right triangle whose sides are 6, 8, and 10 is how many times the area of a right triangle whose sides are 3, 4, and 5?

A. 2
B. 3
C. 4
D. 6
E. 8


Asked: The area of a right triangle whose sides are 6, 8, and 10 is how many times the area of a right triangle whose sides are 3, 4, and 5?

Area of a right triangle whose sides are 6, 8, and 10 = 1/2 * 6*8 = 24

Area of a right triangle whose sides are 3, 4, and 5 = 1/2 * 3 *4 = 6

Number of times = 24/6 = 4

IMO C
GMAT Club Bot
gmatclubot
Re: The area of a right triangle whose sides are 6, 8, and 10 is how many [#permalink]
21 Jul 2020, 10:49
Moderators:
Bunuel
Math Expert
92948 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions