CBSE Class 10-Mathematics: Chapter – 7 Coordinate Geometry Part 15 (For CBSE, ICSE, IAS, NET, NRA 2023)
Get top class preparation for CBSE/Class-10 right from your home: get questions, notes, tests, video lectures and more- for all subjects of CBSE/Class-10.
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 .