Hey genius minds, this is Swaroop Dora welcoming you to Mind Your Concept. I found a nice Theorem of chords of a circle- New Chord Progressive Theorem New Chord Progressive Theorem Theorem : If in a circle 3 Chord origin from a common point and angle between them is given. Then the following relation holds Zsin(α+ß)=Xsinß+Ysinα New Chord Progressive Theorem proof Spacial Case For Chord Progressive Theorem If α and ß are given same then Z=(x+y)/(2cosα). Conclusion Hope you like this Theorem. Thank you for reading my new work. Share it with your friends and family. Important links Visit my Instagram page for fun and interesting math puzzles by Swaroop Dora @MindYourConcept This Theorem I have used in my proof Ptolemy's Theorem
TWO hexagon puzzle
Question: Two vertex of a hexagon is on two sides of another hexagon. from the distance between their vertex? |
| Puzzle from Mind Your Concept |
Solution::
Point P must be on the circumference of the circle of center O because central angle(blue)=240 and the red angle is 120, so it must be inscribed angle.
Thus OP=radius=3cm
Amazingly the length of OP doesn't depend upon size of red hexagon. let's visualize it >>>
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