In coordinate geometry what is the best solution of exercise 7.3 question no. 1 (2) .Give me the easy solution for this question.Find the area of the triangle whose vertices are(ii) (-5, -1), (3, -5), (5, 2).

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# Find the area of the triangle whose vertices are(ii) (-5, -1), (3, -5), (5, 2). Q.1(2)

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(ii) Here,

x

_{1}= -5, x_{2}= 3, x_{3}= 5, y_{1}= -1, y_{2}= -5 and y_{3}= 2Area of the triangle = 1/2 [-5 { (-5)- (2)} + 3(2-(-1)) + 5{-1 – (-5)}]

= 1/2{35 + 9 + 20} = 32

Therefore, the area of the triangle is 32 square units.