Question

Plot the points A(2, 5) B(-3, 1) and C(4, 1) on a graph paper and find the area of the triangle formed by these points. No need to make the graph just find the area please fast​

Answer 1

Given points are (0,2),(3,0),(0,−2) and (−3,0).

The points are plotted in the graph below.

The quadrilateral obtained is a rhombus.

BD and AC are the diagonals of the rhombus.

Area of a rhombus =1/2×d

1

×d

2

Where d

1

and d

2

are the length of diagonals.

AC=4 units [from graph]

BD=6 units [from graph]

Area of rhombus ABCD=1/2×BD×AC

=1/2×6×4

=12sq.units.

Hence the area is 12sq.units.