A segment of a line `P Q` with its extremities on `A Ba n dA C` bisects a triangle `A B C` with sides `a ,b ,c` into two equal areas. Find the shortest length of the segment `P Qdot`

Let A ( 1, 0 ) , B ( 6, 2 ) and C (( 3 ) /(2), 6 ) be the vertices of a triangle ABC. If P is a point inside the triangle ABC such that the triangles APC, APB and BPC have equal areas , then the length of the line segment PQ, where Q is the point ( - ( 7 ) /(6), - ( 1 ) /(3)) , is _________.

Let A(5,-3), B (2,7) and C (-1, 2) be the vertices of a triangle ABC . If P is a point inside the triangle ABC such that the triangle APC,APB and BPC have equal areas, then length of the line segment PB is:

Sides of triangle ABC are in A.P.if a

If the sides a,b and c of a triangle ABC are in A.P.then (b)/(c) belongs to

In ABC,PQ is a line segment intersecting AB at P and AC at Q such that PQBC and PQ divides ABC into two parts equal in area. Find (BP)/(AB) .

In Figure the line segment XY is parallel to side AC of Delta ABC and it divides the triangle into two parts of equal areas.Find the ratio (AX)/(AB)

A triangle has sides 6,7, and 8. The line through its incenter parallel to the shortest side is drawn to meet the other two sides at P and Q. Then find the length of the segment PQ .

If in Delta ABC , sides a, b, c are in A.P. then