find the area of a quardilateral ABCD points are A(-2,8) B(-3,2) C(3,1) D(4,7)
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ANSWER
Let, the points be A(−2,−2),B(5,1),C(2,4) and D(−1,5)
The quadrilateral ABCD can be divided into triangles ABC and ACD and hence the area of the quadrilateral is the sum of the areas of the two triangles.
Area of a triangle with vertices (x1,y1) ; (x2,y2) and (x3,y3)
=∣∣∣∣∣∣2x1(y2−y3)+x2(y3−y1)+x3(y1−y2)∣∣∣∣∣∣.
Hence, substituting the points (x1,y1)=(−2,−2) ; (x2,y2)=(5,1) and (x3,y3)=(2,4) in the area formula,
we get area of triangle ABC
=∣∣∣∣∣∣2
Step-by-step explanation:
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0
Answer:
the answer is 15
Step-by-step explanation:
1/2×30=15
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