Question -
Answer -
It is given that P, Q and R are the mid-points of BC, CA and AB respectively.
We need to find the perimeter of quadrilateral ARPQ
In
, P and R are the mid-points of CB and AB respectively.Theorem states, the line segment joining the mid-points of any two sides of a traingle is parallel to the third side and equal to half of it.
Therefore, we get:
Similarly, we get
We have Q and R as the mid points of AC and AB respectively.
Therefore,
And
Perimeter of
Hence, the perimeter of quadrilateral ARPQ is
.