Do Homework-Jonethan Hemandez-Google Cheome t-yes uSecure I htt ps//www.mathxt.c

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Do Homework-Jonethan Hemandez-Google Cheome t-yes uSecure I htt ps//www.mathxt.com/Studenty/PlayerHomework aspx@homeworkld 4661669528questionld-188flushed-false&ld; 48550378icenterwin Jonathan Henandez&1 4/7118 3:14 PM Math 114 Online Spring '18 Save ati Homework: Section 6.5 Homework HW Score: 73 68%, 14 of 19 pts 11 of 19 (15 complete) Score: 0 of 1 pt 6.5.41 A triangle with vortices at (x yi).(x22) and (x3 3) has an area equal to the absolute value of D, shown Question Help below PCx),2) x ys 1 Use D to find the area of the triangle with vertices at the points (3,4). (-15), and (4,0) The area of the tiangle is square units. (Simplify your answer) t 1 Enter your answer in the answer box and then click Check Answer All parts showing Clear Al Check Answer 0???a earch

Explanation / Answer

The given points are (3,4) , (-1,5) and (4,0)
Thus, area of the triangle , D =
D = 1/2 det ( x1 y1 1
x2 y2 1
x3 y3 1 )
D= 1/2 det ( 3 4 1
-1 5 1
4 0 1 )
D= 1/2 [ 3 (5-0) -4 ( -1-4) + 1(-20) ]
D= 1/2 ( 15 + 20 - 20) = 15/2 = 7.5 sq units

Thus, area of the given traingle = 7.5 sq units

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