Question

in a triangle ABC,P,Q and R are the mid point of the sides BC ,CA and AB respectively .if AC=21cm , BC =29cm and AB=30cm find the perimeter of the quadrilateral ARPQ ?
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Answer 1

Step-by-step explanation:

If R, Q and P are the midpoints of AB, AC and BC, and by applying the theorem:-

The line segment joining the midpoints of two side of a triangle is parallel to the third side and equal to half of it, we get

PQ=

2

1

AB=AR and PQ∣∣AR

PQ=

2

1

AC=AQ and PR∣∣AQ

Since the above conditions are sufficient for parallelogram, therefore ARPQ is a parallelogram.

∴ Perimeter of ∥

gm