The area of a triangle is 4 square units.
Given that, the coordinates of the triangle ABC are A(4, 3), B(5, 1) and C(1, 1).
We need to find the area of a triangle ABC.
The area of a triangle is defined as the total space occupied by the three sides of a triangle in a 2-dimensional plane. The basic formula for the area of a triangle is equal to half the product of its base and height, i.e., A = 1/2 × b × h.
The base of the triangle = |5-1|=4
From vertices, A(4, 3) to the base the distance is 2 units at the vertice (4, 1)
So, the height of the triangle = 2 units
Now, the area of a triangle ABC = 1/2 × 4 × 2 = 4 square units.
In the given solution the height of a triangle is wrongly calculated.
Therefore, the area of a triangle is 4 square units.
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