Find the area (in square units) of a triangle whose vertices are A (2, 4), B (3, 5) and C (-1, 3).
Answer & explanation
Correct answer: option 1
(x1 ,y1) = (2, 4),
(x2,y2) = (3, 5)
(x3 ,y3)= (-1, 3)
Area of the triangle = [x1(y2 – y3) + x2(y3 – y1) + x3(y1 – y2)]/2
Substitute the values in the formula
⇒ [2(5 – 3) + (3)(3 – 4) + 3(4 - 5)]/2
⇒ [8 - 3 -3]/2 = 1 sq. units