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a^1/3+b^1/3+c^1/3=0 then prove that (a+b+c)=27abc
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L and M are the midpoints of the diagonals BD and AC respectively of the quadrilateral ABCD. Through D, draw DE equal and parallel to AB. Show that EC is parallel to LM and is double of it
ABCD is a parallelogram of which no angle is 600 . Equilateral triangles ADE and DCF are drawn outwardly on the sides AD and DC. Show that triangle ABE is congruent to triangle CFB
the side AB of parallelogram ABCD is produced both ways to F and G , so that AF = AD and BG = BC. Prove that FD and GC produced intersect at right angles
In a parallelogram ABCD, E and F are the midpoints of sides AB and CD. Prove that the line segments AF and CE trisect the diagonal BD
Triangle ABC and triangle DEF are two triangles such that AB, BC are respectively equal and parallel to DE, EF. Show that AC is equal and parallel to DF
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