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23-12-2021
Mathematics

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Calculate the area of the triangular region determined by the points D(-4,3) E(-7,-8) F(-2, -3)

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23-12-2021

Answer:

The area is 27

Step-by-step explanation:

Area =1/2 [x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2)]

Area =1/2 [2(-6 - 8) + 3(8 - 4) + 7(4 + 6)]

=1/2 [2(-14) + 3(4) + 7(10)]

=1/2 (-28 + 12 + 70)

=1/2 (54)

Area = 27

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