Find the area of the triangle lormed by the points (2, 3), (-1.0), (2,- 4)
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Step-by-step explanation:
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GIVEN:
Vertices of a triangle = (2,3) (-1,0) and (2,-4)
TO FIND:
Area of the triangle.
SOLUTION:
Let the points be A(2,3), B(-1,0) and C(2,-4)
We know that,
Area of triangle ABC = 1/2 | x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2) |
From the above vertices,
x1 = 2 ; y1 = 3
x2 = -1 ; y2 = 0
x3 = 2 ; y3 = -4
Substituting the values,
Ar( ∆ ABC ) = 1/2 | 2(0 -(-4) ) - 1 (-4 - 3) + 2(3 - 0) |
= 1/2 | 2 (4) - (-7) + 2(3) |
= 1/2 | 8 + 7 + 6 |
= 1/2 | 21 |
= 10.5
Therefore, the Ar ( ∆ ABC ) is 10.5 square units.
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