Question 6 of 58beginner🔧 ApplyNumerical3 marks
Find area of the triangle with vertices at the point given in each of the following: (i) (1, 0), (6, 0), (4, 3) (ii) (2, 7), (1, 1), (10, 8) (iii) (-2, -3), (3, 2), (-1, -8)
(i)
Answer
15/2 sq. units
(ii)
Answer
47/2 sq. units
(iii)
Answer
15 sq. units
Explanation
This question tests the application of determinants to find the area of a triangle. The formula from the textbook states that area of triangle with vertices (x₁, y₁), (x₂, y₂), (x₃, y₃) is given by Δ = ½|x₁(y₂-y₃) + x₂(y₃-y₁) + x₃(y₁-y₂)|. Since area is always positive, we take the absolute value of the determinant result.