Question

Sol. (2) Here ( x_{1}=8 ) and ( y_{1}=-4 ) ( x_{2}=3 ) and ( y_{2}=6 )
( x_{3}=-2 ) and ( y_{3}=4 )
Area of ( Delta mathrm{ABC}=frac{1}{2}left[x_{1}left(y_{2}-y_{3}right)+x_{2}left(y_{3}-y_{1}right)+xright] )
( left.left(y_{1}-y_{2}right)right] )
( =frac{1}{2}(8(6-4)+3(4-(-4)+(-2)(-4-6) )
( frac{1}{2}[16+24+20]=frac{1}{2} times 60=30 ) sq.units.

# Ez.1. Find the area of AABC, whose vertices are A(8,-4) B(3, 6) and C(-2, 4). (1) 15 sq.units (2) 30 sq.units (3) 25 sq.units (4) 35 sq. units

Solution