CBSE Class 10-Mathematics: Chapter –7 Coordinate Geometry Part 15
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Question19:
Find the area of the triangle formed by joining the mid points of the sides of the triangle whose vertices are and . Find the ratio of this area to the area of the given triangle

The Area of the Given Triangle
Answer:
Let and
Area of
P, Q and R are the mid points of sides AB, AC and BC respectively.
Applying Section Formula to find the vertices of P, Q and R, we get
Applying same formula, Area of
Now,
Question 20:
Find the area of the quadrilateral whose vertices taken in order are and .

Area of Quadrilateral ABCD
Answer:
Area of Quadrilateral
Area of Triangle Area of Triangle
Using formula to find area of triangle:
Area of
Again, using formula to find area of triangle:
Area of
Putting and in , we get
Area of Quadrilateral .