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.
GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2506
Given Kudos: 1055
GPA: 3.39
A triangle in the xy-coordinate plane has vertices with coordinates (7
[#permalink]
10 May 2021, 21:38
10 May 2021, 21:38
1
Expert Reply
2
Bookmarks
00:00
Question Stats:
75% (02:47) correct
25% (03:15) wrong based on 24 sessions
Hide Show timer Statistics
A triangle in the xy-coordinate plane has vertices with coordinates (7, 0), (0, 8), and (20, 10). What is the area of this triangle?
A. 72
B. 80
C. 87
D. 96
E. 100
A. 72
B. 80
C. 87
D. 96
E. 100
Retired Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Given Kudos: 172
Location: India
WE:Education (Education)
Re: A triangle in the xy-coordinate plane has vertices with coordinates (7
[#permalink]
11 May 2021, 00:43
11 May 2021, 00:43
2
GeminiHeat wrote:
A triangle in the xy-coordinate plane has vertices with coordinates (7, 0), (0, 8), and (20, 10). What is the area of this triangle?
A. 72
B. 80
C. 87
D. 96
E. 100
A. 72
B. 80
C. 87
D. 96
E. 100
Area of triangle = \(\frac{1}{2}|20(8 - 0) + 0(0 - 10) + 7(10 - 8)| = \frac{174}{2} = 87\)
Alternate Approach:
Draw lines CD and CE (as shown in the figure)
Area of triangle ABC = Area of rectangle ODCE - Area of triangle AOB - Area of triangle BDC - Area of triangle CEA
= \((20)(10) - \frac{1}{2}(7)(8) - \frac{1}{2}(13)(10) - \frac{1}{2}(20)(2)\)
= \(200 - 28 - 65 - 20\)
= \(87\)
Attachments
Area of triangle ABC.jpg [ 619.75 KiB | Viewed 1993 times ]
gmatclubot
Re: A triangle in the xy-coordinate plane has vertices with coordinates (7 [#permalink]
11 May 2021, 00:43
Moderators:
