Question

find the area of the triangle formed by the points (2 3) (-1 0) (2 -4)​

Answer 1

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Answer 2

Given,

The three vertices of the triangle are = (2,3) , (-1,0) and (2,-4).

To find,

The area of the given triangle.

Solution,

For an easier calculation, we will name the given vertices.

A = (2,3) = X1,Y1

B = (-1,0) = X2,Y2

C = (2,-4) = X3,Y3

Now, we can apply the coordinate geometry formula of calculating the area of the given triangle.

Area of the given triangle :

= ½ [X1 (Y2-Y3) + X2 (Y3-Y1) + X3 (Y1-Y2)]

= ½ [ 2 (0+4) + (-1) (-4-3) + 2 (3-0)]

(By putting the values that are given in the question.)

= ½ (8+7+6)

= ½ (21)

= 10.5 sq.units

Hence,the area of the given triangle is 10.5 sq.units.