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Equilateral Triangles

I am really poor in geometry..(ignore the level 4 in geometry) and so i couldn't find a solution to these problems:-

1)Equilateral triangles BCX, CAY, ABZ are constructed externally on the sides of triangle ABC. If P,Q,R are the midpoints of BX, BZ and AC then prove that triangle PQR is equilateral.

2) Given a parallelogram ABCD, a straight line cuts off 1/3 AB, 1/4 AD and X part of AC. Find X.

Please give a detailed solution.

Note by Abhishek Bakshi
2 years, 5 months ago

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