Question

The area of the triangle formed by joining the mid-points of the sides of the triangle whose vertices are A(2, 1), B(4, 3) and C(2, 5) is

Answer 1

Answer:

Step-by-step explanation:

Step-by-step explanation: In the attached figure, ABC is a triangle with vertices  A(2,1), B(4,3) and C(2,5). ΔDEF is formed bu joining the mid-points D, E and F of the sides AB, BC and CA respectively of ΔABC.

Co-ordinates of point D are given by

Co-ordinates of point E are

And, co-ordinates of point F are

Therefore, area of ΔDEF is given as

Thus, the area of the triangles formed by joining the mid-points is

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