If the vertices of a triangle are (-2,6),(3,-6) and (1,5) , then the area of the triangle is

Step-by-step solution

Given vertices of triangle are (-2,6),(3,-6) and (1,5) . aligned & Area of triangle = 1 2 | array lll x₁ & y₁ & 1 x₂ & y₂ & 1 x₃ & y₃ & 1 array | &= 1 2 | array ccc -2 & 6 & 1 3 & -6 & 1 1 & 5 & 1 array |= 1 2 | array ccc -5 & 12 & 0 2 & -11 & 0 1 & 5 & 1 array | & [R₁ R₁-R₂, R₂ R₂-R₃ ] &= 1 2 [1(55-24)]= 31 2 =15.5 sq. units aligned