Question

in triangle ABC
P, Q AND R are the mid points of side AB BC CA . prove that ar [APQR]= 1/2 ar [ABC]

Answer 1

Is there a figure?

Answer 2

no

Answer 3

What does ar[APQR] mean?

Answer 4

Are you trying to prove that the area of quadrilateral APQR is half the area of triangle ABC?

Answer 5

All small triangles are congruent by SSS.
Since the quadrilateral is made up of 2 small triangles and triangle ABC is made up of 4 small triangles, the area of tri. ABC is twice the area of quadr. APQR.