co-ordinate geometry with constraints on triangles and a square

51 Views Asked by At

Triangle ABC is right angled at A,AB = 2AC,A=(1,2),B= (-3,1) ACD is an equilateral triangle. The vertices of two triangles are in anticlockwise sense. BCEF is a square with vertices in clockwise sense. Find

a. Area of triangle ACF

b. Length of DE

c. Y co-ordinate of centroid of square BCEF