Скачать с ютуб Must Know These Golden Values for Triangles by Amiya Sir в хорошем качестве

Must Know These Golden Values for Triangles by Amiya Sir

GOLDEN VALUES TRIANGLES – 1 RIGHT ANGLE TRIANGLE Sides are in AP Side Ratio – 3,4,5 r=1 , R = 2.5 , A = 6 Or its multiple or factors P and B are consecutive numbers 3,4,5 20,21,29 119,120,169 RIGHT ANGLE TRIANGLE Sides are in GP a, ar, ar^2 Kepler Triangle r= √φ , φ=Golden Ratio=1.618=(√5+1)/2 √φ=√((√5+1)/2)=1.272 ANGLES ARE IN AP If in any triangle angles are in AP then 60 -θ,60 and60+θ are angles Middle angle is always 60° Sides consecutive numbers Sides consecutive numbers with integral in radius 3,4,5 ; r=1 13,14,15 ; r = 4 Sides in AP Largest angle is double of Smallest angle Side ratio = 4:5:6 Sides in GP then range of “r” 1/φ r φ φ=Golden Ratio=1.618=(√5+1)/2 (√5-1)/2 r (√5+1)/2 ================================= To Join Online Classes for Quant (Maths) , DI , LR (Reasoning) for CAT / SSC / BAKING - https://www.3elearning.in/ To join off line classroom at Ranchi : visit - https://goo.gl/SaezYz ================================= Learning Anytime Anywhere. Free and best youtube learning platform, for CAT/ XAT /SNAP/ CMAT/ SSC / BANKING/ Maths By Amiya ================================= For more JOIN FB GROUP -   / mbamathsbyamiya   LIKE -   / mathsbyamiya   Telegram Channel : https://t.me/mathsbyamiya To Join Telegram Group: https://t.me/joinchat/F_j9Dw9Mgi6Je4J... Website: www.3elearning.in Twitter:   / 3eamiya   Best Maths Questions, Best Maths Questions for CAT, SNAP, IIFT, XAT CLAT, SSC, UPSC, BANKING, PO, SBI, SSC CGL , SAT, GMAT, GRE