Find the area of a triangle formed by the points P(5, 2), Q(4, 7) and R(7, -4)
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Answer:
area of triangle = 1/2 |x1 (y2-y3) + x2 (y3-y1) + x3 (y1-y2)|
= 1/2 | 5 (7+4) + 4 (-4-2) + 7 (2-7)|
= 1/2 | 5 (11) + 4 (-6) +7 (-5)|
= 1/2 |55-24-35|
= 1/2 | 31-35|
= 1/2 (4)
= 2 square units
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