Elementary Math Fractions, Percentages, Word Problems, Equations, Inequations, Factorization, Expansion

 February 6th, 2019, 05:53 PM #1 Member   Joined: Jan 2019 From: tornto Posts: 48 Thanks: 0 triangle? Could not solve this on my exam. Please help with explanation. Thanks. Find the value of x which makes the area of this triangle equal 72. A. x=10.5 B. x=6 C. x=4.6875 D. x=9.375 triangle Last edited by skipjack; February 6th, 2019 at 09:28 PM. February 6th, 2019, 07:38 PM #2 Newbie   Joined: Jan 2019 From: Arrakis Posts: 7 Thanks: 0 A=(1/2)(b)(h) 72=(1/2)(8)(h) [do keep in mind that h=(2x-3)] 72=(4)(h) 18=h Therefore, if h=18 and h=(2x-3) then 18=2x-3 18=2x-3 21=2x 10.5=x Final answer: A February 6th, 2019, 09:43 PM #3 Global Moderator   Joined: Dec 2006 Posts: 21,113 Thanks: 2327 The triangle can be thought of as the lower left half of a rectangle (with area 72 × 2 = 144). The height of that rectangle (and also the triangle) is therefore 144/8 = 18. Hence 2x - 3 = 18, which implies that x = 10.5 (answer A). I've no idea how anyone could arrive at answer C or D. Tags triangle Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post randomgamernerd Geometry 1 November 16th, 2015 09:09 PM mared Geometry 1 June 16th, 2015 10:49 AM miran97 Algebra 2 March 14th, 2013 08:46 AM 1101 Algebra 0 June 19th, 2009 11:56 PM johnnyboy12 Algebra 1 June 8th, 2009 03:41 PM

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