CBSE Class 10-Mathematics: Chapter – 7 Coordinate Geometry Part 15 (For CBSE, ICSE, IAS, NET, NRA 2023)

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Question 19:

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

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 .

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 .