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.
What is the greatest possible area of a triangular region wi
[#permalink]
25 Jul 2020, 09:45
25 Jul 2020, 09:45
Expert Reply
2
Bookmarks
00:00
Question Stats:
92% (01:22) correct
8% (02:10) wrong based on 25 sessions
Hide Show timer Statistics
What is the greatest possible area of a triangular region with one side that corresponds with the diameter of a circle with radius 6, and the other vertex of the triangle on the circle?
(A) 24
(B) 36
(C) 40
(D) 48
(E) 72
(A) 24
(B) 36
(C) 40
(D) 48
(E) 72
Intern
Joined: 25 Jul 2020
Posts: 38
Given Kudos: 0
GRE 1: Q170 V157
Re: What is the greatest possible area of a triangular region wi
[#permalink]
25 Jul 2020, 11:06
25 Jul 2020, 11:06
1
See the attached image. The key is to place the vertex in such a way that dropping a perpendicular from it will go through the center of the circle. Area is base * height = 36.
Attachments
gre123.png [ 7.43 KiB | Viewed 1995 times ]
Re: What is the greatest possible area of a triangular region wi
[#permalink]
26 Jul 2020, 09:13
26 Jul 2020, 09:13
2
Since the base will be same for all such triangles but height will vary, the triangle with maximum area will be the one where the perpendicular dropped from the third vertex on the side coinciding with the diameter passes through the center (the yellow triangle present in the figure).
So,
Max area = (1/2)*(12)*(6) = 36
Answer is B.
So,
Max area = (1/2)*(12)*(6) = 36
Answer is B.
Attachments
answer.png [ 11.49 KiB | Viewed 1980 times ]
