CBSE NCERT Solutions Chapter 6 Triangles Exercise 6.4 Question 3
3. ABC and DBC are two triangles on the same base BC. If, AD intersects BC at O, show that
.
Solution:
Construction: Draw perpendicular AE from point A to side BC and draw perpendicular DF to side BC.
Area of triangle ABC =
Area of triangle DBC =
(1)
In
and
{Each 90 degrees}
{Vertically Opposite angles}
Therefore, by AA similarity criterion,
~
Therefore,
(2)
{Corresponding sides of similar triangles are proportional}
Putting equation (2) in equation (1), we get
Hence Proved
saksham says
vry good yr yeh question mughe mil gya thnk u
Jashan says
No Problem, feel free to ask if you face any problem in the future.