Can A(3,4),B(0,-5),C(3,-1) be the vertices of a triangle? If your answer is yes,find the area of the triangle.
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Step-by-step explanation:
it is a triangle
A(3,4)=(x1,y1)
B(0,-5)(x2,y2)
C(3,-1)(x3,y3)
area of triangle
=1/2{x1(y2-y3)+x2(y3-y1)+x3(y1-y2)
= 1/2{3(-5+1)+0(-1-4)+3(4+5)}
=1/2{-12+0+27}
=1/2×15
=15/2
=7.5
Area of∆=7.5 square unit
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