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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 ## What is the area of the triangle? tagged by: swerve ##### This topic has 2 expert replies and 0 member replies ### Top Member ## What is the area of the triangle? The figure above shows the dimensions of an isosceles triangle in terms of x. What is the area of the triangle? (A) 24 (B) 30 (C) 48 (D) 60 (E) 96 The OA is C. I need to find the value of x, I think that I can do it of the following way, as I have 2 right triangles I can use Pithagoras theorem and get the value of x, right? Then with it I can determine the area of the triangle. Please, can any expert explain this PS question for me? I tried to solve it of this way but I can't get the correct answer. I need your help. Thanks. ### GMAT/MBA Expert GMAT Instructor Joined 04 Oct 2017 Posted: 551 messages Followed by: 11 members Upvotes: 180 Top Reply Quote: The figure above shows the dimensions of an isosceles triangle in terms of x. What is the area of the triangle? (A) 24 (B) 30 (C) 48 (D) 60 (E) 96 The OA is C. Hi Swerve, Let's take a look at your question. Since the given triangle is an isosceles triangle, therefore, two of the sides of the triangle are congruent. We can see that the base angles are the same i.e. y degrees, hence sides opposite to these two angles will be the same in length. Therefore, $$2x-2=3x-8$$ $$3x-2x=8-2$$ $$x=6$$ Now we can find the area of the triangle using the formula: $$\text{Area of Triangle}=\frac{1}{2}\left(Base\right)\left(Height\right)$$ $$\text{Area of Triangle}=\frac{1}{2}\left(3x-2\right)\left(x\right)$$ Substitute x = 6, we get, $$\text{Area of Triangle}=\frac{1}{2}\left[3\left(6\right)-2\right]\left(6\right)$$ $$\text{Area of Triangle}=\frac{1}{2}\left[18-2\right]\left(6\right)$$ $$\text{Area of Triangle}=\frac{1}{2}\left[16\right]\left(6\right)$$ $$\text{Area of Triangle}=8\left(6\right)=48$$ 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. ### GMAT/MBA Expert Elite Legendary Member Joined 23 Jun 2013 Posted: 10197 messages Followed by: 497 members Upvotes: 2867 GMAT Score: 800 Top Reply Hi swerve, We're told that the large triangle is an ISOSCELES triangle. We're asked to find the area of the triangle. While there are lengthy 'math' approaches to answering this question, you can use the relationship of the sides and do a bit of basic arithmetic to get to the correct answer. To start, it's worth noting that the large triangle is ISOSCELES, so (2X - 2) and (3X - 8) MUST end up equaling the same value. Thus, we can set them equal to one another: 2X - 2 = 3X - 8 6 = X Area of the big triangle = (1/2)(X)(3X - 2) = (1/2)(6)(16) = (1/2)(96) = 48 Final Answer: C GMAT assassins aren't born, they're made, Rich _________________ Contact Rich at Rich.C@empowergmat.com • 5 Day FREE Trial Study Smarter, Not Harder Available with Beat the GMAT members only code • Free Veritas GMAT Class Experience Lesson 1 Live Free Available with Beat the GMAT members only code • Free Practice Test & Review How would you score if you took the GMAT Available with Beat the GMAT members only code • Get 300+ Practice Questions 25 Video lessons and 6 Webinars for FREE Available with Beat the GMAT members only code • Award-winning private GMAT tutoring Register now and save up to$200

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