Question

Fine the area of the triangle, the co-ordinates of whose vertices are
(i) (1, 1), (0, 0), (-1, 2)
(ii) (1, 3), (1, 2), (-1, 1)

Answer 1

$\small \bf \red{hey \: mate \: here \: is \: ur \: ans} \\ \\ \small \bf \red{ \huge \: solution} \\ \\ \small \bf \red{given \: that} \\ \\ \small \bf \red{(1,1)(0,0)( - 1,2)} \\ \\ \\ \small \bf \red{area \: of \: traingle = \frac{1}{2} (x1(y2 - y3) + x2} \\ \small \bf \red{(y3 - y1) + x3(y1 - y2)} \\ \\ \small \bf \red{area = \frac{1}{2}(1 \times (0 - 2) + 0(2 - 1) - 1 (1 - 0)} \\ \\ \small \bf \red{area = \frac{1}{2}( - 2 + 0 - 1) } \\ \\ \small \bf \red{area = \frac{1}{2 } \times( - 3)} \\ \\ \small \bf \red{area = - \frac{3}{2} \: \: \: ans} \\ \\ \\ \small \bf \red{ \underline{by \: using \: this \: formula \: we \: can \: solve \: }} \\ \small \bf \red{ \underline{2nd \: question}}$