Q11 of 23 Page 330

ABC is a right-angled triangle of which ∠ABC = 90°, co-ordinates of A and C are (0, 4) and (3, 0) respectively, then the area of triangle ACB is

Point B can either be origin or (3, 4) as shown


Consider B to be the origin



Base of ΔABC = BC = 3 units


Height of ΔABC = AB = 4 units


Thus, area = × base × height


⇒ area = × 3 × 4 = 6 unit2

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