Question

The area of the triangle formed by the points A(2,0), B(6,0) and (4,6) is
(a) 24 sq.units
(b) 12 sq.units
(c) 10 sq.units
(d) None of these

Answer 1

Answer:

(b)12sq.units

Step-by-step explanation:

let the points be A(2,0)

x¹,y¹

and B (6,0)

x²,y²

and C (4,6)

x³,y³

then ,

Area of the triangle ABC=

½|x¹(y²-y³)+x²(y³-y¹)+x³(y¹-y²)|

=½|2(0-6)+6(6-0)+4(0-0)|

=½|2×-6 + 6×6+4×0|

=½|-12+36+0|

=½|24|

=½×24

=12sq.units