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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 ## mathematics tagged by: rolandprowess ##### This topic has 2 expert replies and 0 member replies ## mathematics In a right-angled triangle, the hypotenuse is 39cm and the ratio of the other two sides is 12:5. Find the sides ### GMAT/MBA Expert Elite Legendary Member Joined 23 Jun 2013 Posted: 9942 messages Followed by: 492 members Upvotes: 2867 GMAT Score: 800 Hi Diophantus, One of the right-triangle 'patterns' that you will likely see on the GMAT is the 5/12/13. It's important to remember that MULTIPLES of this ratio are also valid right triangles. Thus, you could have sides of... 5, 12 and 13 10, 24 and 26 15, 36 and 39 Etc. Here, we know that the hypotenuse is 39 and the ratio of the two 'legs' is 5:12. Thus, those two legs must be... 15 and 36 GMAT assassins aren't born, they're made, Rich _________________ Contact Rich at Rich.C@empowergmat.com ### GMAT/MBA Expert GMAT Instructor Joined 22 Aug 2016 Posted: 1607 messages Followed by: 27 members Upvotes: 470 Diophantus wrote: In a right-angled triangle, the hypotenuse is 39cm and the ratio of the other two sides is 12:5. Find the sides Diophantus wrote: In a right-angled triangle, the hypotenuse is 39cm and the ratio of the other two sides is 12:5. Find the sides Which side do you want? there are two sides... Say one of the sides is 12x and thus, the other one is 5x. Thus, applying Pythagoras theorem, we get, 39^2 = (12x)^2 + (5x)^2 39^2 = 144x^2 + 25x^2 39^2 = 169x^2 Taking square root of both sides, we get 39 = 13x => x = 3 Thus, the two sides are 12*3 = 36 cm and 5*3 = 15 cm. Pl. post a question with five options and the answer. Hope this helps! -Jay Download free ebook: Manhattan Review GMAT Quantitative Question Bank Guide _________________ Manhattan Review GMAT Prep Locations: New York | Barcelona | Manila | Melbourne | and many more... Schedule your free consultation with an experienced GMAT Prep Advisor! Click here. • Free Trial & Practice Exam BEAT THE GMAT EXCLUSIVE 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 • Get 300+ Practice Questions 25 Video lessons and 6 Webinars for FREE Available with Beat the GMAT members only code • 5-Day Free Trial 5-day free, full-access trial TTP Quant Available with Beat the GMAT members only code • 5 Day FREE Trial Study Smarter, Not Harder Available with Beat the GMAT members only code • Award-winning private GMAT tutoring Register now and save up to$200

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