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100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## Given the three points below tagged by: Brent@GMATPrepNow ##### This topic has 3 expert replies and 2 member replies ### Top Member ## Given the three points below Given the three points below, what is the area of the triangle formed by connecting them? (0,3), (-3,-3), (3,-3) (A) 4.5 (B) 9 (C) 18 (D) 36 (E) 72 How to come up with the Best Option? OA C ### GMAT/MBA Expert Legendary Member Joined 20 Jul 2017 Posted: 503 messages Followed by: 11 members Upvotes: 86 GMAT Score: 770 Top Reply It's a good call to visualize or sketch out this problem. Looking at the numbers, we can see that (-3,-3), (3,-3) are each 6 down and 3 left/right of (0,3). This means that we have an isosceles triangle, where (0,3) is the top point, (-3,-3) to (3,-3) is the base and (-3,-3) to (0,3) and (3,-3) to (0,3) are the two equal sides. This means that if we were to draw a line from the top point (0,3) to the midpoint of the base (0,-3), we would have our height. Base = (-3,-3) to (3,-3) = 6 Height = (0,3) to (0,-3) = 6 Then using the area formula: (1/2) b*h = (1/2)(6)(6) = 18 _________________ Erika John - Content Manager/Lead Instructor https://gmat.prepscholar.com/gmat/s/ Get tutoring from me or another PrepScholar GMAT expert: https://gmat.prepscholar.com/gmat/s/tutoring/ Learn about our exclusive savings for BTG members (up to 25% off) and our 5 day free trial Check out our PrepScholar GMAT YouTube channel, and read our expert guides on the PrepScholar GMAT blog ### GMAT/MBA Expert GMAT Instructor Joined 08 Dec 2008 Posted: 13043 messages Followed by: 1251 members Upvotes: 5254 GMAT Score: 770 Top Reply lheiannie07 wrote: Given the three points below, what is the area of the triangle formed by connecting them? (0,3), (-3,-3), (3,-3) (A) 4.5 (B) 9 (C) 18 (D) 36 (E) 72 Here's a sketch of the triangle: From here, we can see that the base has length 6, and the height is 6 Area = (base)(height)/2 = (6)(6)/2 = 36/2 = 18 = C Cheers,. Brent _________________ Brent Hanneson â€“ Creator of GMATPrepNow.com Use my video course along with Sign up for free Question of the Day emails And check out all of these free resources GMAT Prep Now's comprehensive video course can be used in conjunction with Beat The GMATâ€™s FREE 60-Day Study Guide and reach your target score in 2 months! ### GMAT/MBA Expert GMAT Instructor Joined 04 Oct 2017 Posted: 551 messages Followed by: 11 members Upvotes: 180 lheiannie07 wrote: Given the three points below, what is the area of the triangle formed by connecting them? (0,3), (-3,-3), (3,-3) (A) 4.5 (B) 9 (C) 18 (D) 36 (E) 72 How to come up with the Best Option? OA C Hi lheiannie07, Let's take a look at your question. Three points (0,3), (-3,-3), (3,-3) are making a triangle at the coordinate plane. (0, 3) will be the top vertex of the triangle and (-3, -3) and (3, -3) are the vertices at the base of the triangle. We know that, Area of triangle = (1/2)*(Base)*(Height) It means we need to find the length of base and height to find the area of triangle. The vertices of base are (-3, -3) and (3, -3). y coordinate is the same for both points, it means it is a horizontal line starting from x = -3 to x = 3, which includes 6 units at horizontal line. Therefore, Base = 6 To find height we need to draw a line from the top vertex (0, 3) to the base of the triangle which is a horizontal line at y = -3. So if we draw a vertical line for the height of the triangle, it will start from y = 3, to y = -3, which includes 6 units at y-axis. Therefore, Height = 6 Now, Area of triangle = (1/2)*(Base)*(Height) Area of triangle = (1/2)*(6)*(6) Area of triangle = (3)*(6) = 18 Therefore, Option C is correct. Hope it helps. I am available if you'd like any follow up. _________________ GMAT Prep From The Economist We offer 70+ point score improvement money back guarantee. Our average student improves 98 points. Free 7-Day Test Prep with Economist GMAT Tutor - Receive free access to the top-rated GMAT prep course including a 1-on-1 strategy session, 2 full-length tests, and 5 ask-a-tutor messages. Get started now. ### Top Member Moderator Joined 07 Sep 2017 Posted: 3179 messages Followed by: 8 members Brent@GMATPrepNow wrote: lheiannie07 wrote: Given the three points below, what is the area of the triangle formed by connecting them? (0,3), (-3,-3), (3,-3) (A) 4.5 (B) 9 (C) 18 (D) 36 (E) 72 Here's a sketch of the triangle: From here, we can see that the base has length 6, and the height is 6 Area = (base)(height)/2 = (6)(6)/2 = 36/2 = 18 = C Cheers,. Brent Thanks a lot! ### Top Member Moderator Joined 07 Sep 2017 Posted: 3179 messages Followed by: 8 members EconomistGMATTutor wrote: lheiannie07 wrote: Given the three points below, what is the area of the triangle formed by connecting them? (0,3), (-3,-3), (3,-3) (A) 4.5 (B) 9 (C) 18 (D) 36 (E) 72 How to come up with the Best Option? OA C Hi lheiannie07, Let's take a look at your question. Three points (0,3), (-3,-3), (3,-3) are making a triangle at the coordinate plane. (0, 3) will be the top vertex of the triangle and (-3, -3) and (3, -3) are the vertices at the base of the triangle. We know that, Area of triangle = (1/2)*(Base)*(Height) It means we need to find the length of base and height to find the area of triangle. The vertices of base are (-3, -3) and (3, -3). y coordinate is the same for both points, it means it is a horizontal line starting from x = -3 to x = 3, which includes 6 units at horizontal line. Therefore, Base = 6 To find height we need to draw a line from the top vertex (0, 3) to the base of the triangle which is a horizontal line at y = -3. So if we draw a vertical line for the height of the triangle, it will start from y = 3, to y = -3, which includes 6 units at y-axis. Therefore, Height = 6 Now, Area of triangle = (1/2)*(Base)*(Height) Area of triangle = (1/2)*(6)*(6) Area of triangle = (3)*(6) = 18 Therefore, Option C is correct. Hope it helps. I am available if you'd like any follow up. • Get 300+ Practice Questions 25 Video lessons and 6 Webinars for FREE Available with Beat the GMAT members only code • Free Trial & Practice Exam BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • FREE GMAT Exam Know how you'd score today for$0

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