Question

find the area of triangle whose vertices are given as ( 1,-1) (-4,6) and (-3,-5)​

Answer 1

Answer:

Area of the triangle formed by given 3 points is 24 square units

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Answer 2

Answer:

24 Square units

Step-by-step explanation:

Let the vertices of the triangle be A(1,-1),B(-4,6) And c(-3,-5)

Then we have X1=1, y1=-1

X2=-4  y2=6

And x3 = -3, y3 = -5

Now Area of ΔABC

= 1  {X1(Y2-Y3)+X2(Y3-Y1)+X3(Y1-Y2)}

  2  

= 1 [ 1+(6+5)+4(-4)(-5+1)+(-3)(-1-1)]

  2

= 1 [ 11-4X(-4)-3X(-7)]

  2

= 1 [ 11+16+21]

   2

= 1 X 48=24 Square Units

  2

=24

Hope this helps

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