Find the area of triangle formed by joining the mid-points of the sides of triangle whose vertices are (0, -1), (2, 10) and (0, 3). Find the ratio of this triangle with given triangle.

Asked by Topperlearning User | 25th Nov, 2013, 09:51: AM

Expert Answer:

D, E and F are mid-points of AB, BC and CA respectively.

Therefore, coordinates of D =

Coordinates of E =

Coordinates of F =

Since, area of a triangle =

Therefore, area ABC = = = 4 sq. units

Now, area DEF = = 1 sq. unit

Therefore, = 4 : 1

Answered by  | 25th Nov, 2013, 11:51: AM