GRE Prep 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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
The area of ABC
[#permalink]
Updated on: 26 Dec 2018, 11:20
Updated on: 26 Dec 2018, 11:20
Expert Reply
5
Bookmarks
00:00
Question Stats:
67% (01:10) correct
32% (01:06) wrong based on 213 sessions
Hide Show timer Statistics
Attachment:
#GREpracticequestion The area of ABC.jpg [ 18.79 KiB | Viewed 10410 times ]
Quantity A |
Quantity B |
The area of \(\triangle ABC\) |
The area of \(\triangle DEF\) |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Manager
Joined: 01 Apr 2017
Posts: 61
Given Kudos: 0
WE:Analyst (Computer Software)
Re: The area of ABC
[#permalink]
26 Apr 2017, 11:59
26 Apr 2017, 11:59
3
2
Bookmarks
Triangle ABC is a isosceles right-angled triangle.A = C = 45 degrees.Therefore, AB = BC = Sq.root(2)
Area of triangle ABC = 1/2 * Sq.root(2) * Sq.root(2)
= 1/2 * 2
= 1
In Triangle DEF , angle F= 30 degrees.
Sin 30 = 1/2 =DE/2
DE = 1
Also, Cos 30 = Sq.root(3)/2 = EF/2
EF = Sq.root(3) = 1.732
This implies area of triangle DEF = 1/2 * 1 * 1.732
= .866
Clearly,Area of ABC is greater than Area of DEF.
Area of triangle ABC = 1/2 * Sq.root(2) * Sq.root(2)
= 1/2 * 2
= 1
In Triangle DEF , angle F= 30 degrees.
Sin 30 = 1/2 =DE/2
DE = 1
Also, Cos 30 = Sq.root(3)/2 = EF/2
EF = Sq.root(3) = 1.732
This implies area of triangle DEF = 1/2 * 1 * 1.732
= .866
Clearly,Area of ABC is greater than Area of DEF.
General Discussion
Re: The area of ABC
[#permalink]
29 Sep 2018, 10:27
29 Sep 2018, 10:27
1
Right triangle 1:1:root{2} and 1:root{3}:2....the one with more symmetry will have the higher area.
