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 February 6th, 2019, 05:53 PM #1 Newbie   Joined: Jan 2019 From: tornto Posts: 7 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: United States 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: 20,298 Thanks: 1971 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.

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