Question

find the area of the triangle which has vertices with coordinate p(1,2) ,Q(4,1) ,R(3,3)

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the area of a triangle with vertices P(1,2), Q(4,1), and R(3,3), you can use the formula for the area of a triangle given its vertices in a Cartesian plane.

Area = 1/2 * |x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2)|

Substitute the coordinates of the vertices into the formula:
Area = 1/2 * |1(1-3) + 4(3-2) + 3(2-1)|
Area = 1/2 * |-2 + 4 + 3|
Area = 1/2 * 5
Area = 2.5

Therefore, the area of the triangle with vertices P(1,2), Q(4,1), and R(3,3) is 2.5 square units.