Coordinate Geometry Question 98

Question: If the coordinates of the points A, B, C, be (4,4), (3,-2) and (3,-16) respectively, then the area of the triangle ABC is

[MP PET 1982]

Options:

A) 27

B) 15

C) 18

D) 7

Show Answer

Answer:

Correct Answer: D

Solution:

$ \Delta =\frac{1}{2}[4(-2+16)+3(-16-4)+3(4+2) $

$ =\frac{1}{2}[56-60+18]=7 $ .