Find the area of triangle whos vertices are (2,1) (-2,3) (4-3)
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Given :-
Vertices of triangle ️ABC
A (2, 1), B(-2, 3), C(4, - 3)
=> x1 = 2, x2 = - 2, x3 = 4
and y1 = 1, y2 = 3, y3 = - 3
To find :-
Area of triangle ️ ABC
Formula used:-
Area of triangle =
1/2 [ x1(y2 - y3) + x2 (y3 - y1) + x3(y1 - y3)]
Solution :-
Area of triangle ️ABC
= 1/2 [ x1(y2 - y3) + x2 (y3 - y1) + x3(y1 - y3)]
= 1/2[2 × (3 - (-3)) - 2 × (-3 -2) - 3 × (1 - (-3))]
= 1/2[12 + 10 - 12]
= 1/2 × 10
= 5 square units.
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