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
Theorem: If two lines divide a rectangle in the way shown. Then the area only depends on regions A & B. That is the area of a rectangle is equal to 2√B(√A+√B). And area relation 4 region is A-B+C+D=2√(AB)
Proof:
Puzzle based on Swaroop's Theorem
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Conclusion
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