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.
Easy Math Editor
This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.
When posting on Brilliant:
*italics*
or_italics_
**bold**
or__bold__
paragraph 1
paragraph 2
[example link](https://brilliant.org)
> This is a quote
\(
...\)
or\[
...\]
to ensure proper formatting.2 \times 3
2^{34}
a_{i-1}
\frac{2}{3}
\sqrt{2}
\sum_{i=1}^3
\sin \theta
\boxed{123}
Comments
There are no comments in this discussion.