The graph below shows a triangle with sides L₁, L₂ and L. The sides are given by the following parametric equations with their endpoints specified. In the following, find the area of the triangle using Lady-1 x dy = x dy = 1 [₁=dy=[ Area of the triangle == —— dt= dt L₁: Set up the three integrals on the right with the given and y. Keep all coefficients and values exact. dt= L₂: L3: x=t y = 12 + #=1- - x= 7+3t y=4+8t area = 9 3 2 boundary L2 (t-10) 8) L1 x dy = L3 X between (1,8) and (10, 12) between (1,8) and (7,4) between (7,4) and (10, 12) - [ w dy + [n dy + [₂ m dy Erg In

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