Azri

@mathwithvan You should be grateful that you can call directly to Allah to get exact date of eid.

#elementarygeometry #euclideangeometry #mathematics #triangles #ratio

@mnd233445 S(Blue)+S(Gray)=(16^2+12^2)/2= 200

Total Painted area = ?

@e2718pi3142 As ΔABO=ΔDCO by two sides and the angle between them, angles AOD and BOC are equal. As COBF is cyclic, angles AFD and COB are also equal, which makes AFOB cyclic. Then, CB is the O-Simson line of ΔAFD and OE is the altitude of isosceles ΔAOD with AO=OD. Thus, AE=ED.

Given: 👉B, C and E are collinear points. 👉AB=CD. 👉O is the center of the circle. 👉AB and CD are tangents to the circle. Prove: E is the midpoint of AD. #elementarygeometry #euclideangeometry #mathematics #circles #proof

Finsler-Hadwiger Theorem #squares #midpoints #mathematics #study #euclideangeometry #elementarygeometry #perpendicular

Semicircle, circle and parallel diameters. Author: Me #geometry #circles #diameter #parallel #euclideangeometry #puzzles #mathematics #study

@brixkitkam How do you know that arc AB=arc CD?

@e2718pi3142 arc AB = arc CD (same angles at circumference) so AB = DC r = semiperimeter - hypot = (8+4+4*sqroot3)/2 - 8 = 2*sqroot3 -2 diameter is 4*sqroot3 -6

Semicircle, angle bisector and incircle. Author: Me #geometry #circles #semicircle #incircle #anglebisector #euclideangeometry #puzzles #mathematics #study

@PeterPW01 Greeting from Malaysia!

@e2718pi3142 Thank you, my friend!😃🙏. Cheers from Colombia

@DmitriySpirido5 Nice! 👍

@e2718pi3142 2√3-2

@e2718pi3142 2 : 1

@e2718pi3142 (1/2) Hello there!, <CAD = <CBD = <ABD = <ACD ---> ∆ACD is isósceles ---> AD = DC = x . Ptolemys's theorem: ---> BD*AC = 4*x + 8*x ---> BD*AC = 12*x (1) Pythagorean theorem in the ∆BCA: ---> AC = 4√3 ---> AC in (1) ---> BD = x*√3 (2)

@PeterPW01 Very well done! 😊

@e2718pi3142 (2/2) Pythagorean theorem in the ∆BCD: ---> 64 = 3* x^2 + x^2 ---> x = 4 ---> BD = 4√3 Poncelet: ---> Diameter = BD + x - BC = 4√3 + 4 - 8 ---> Diameter = 4(√3 - 1) units

@mathwithvan AB can be equal to DC, but not always.

Try this! • note: AB ≠ DC Geometry.

12-gon and two perpendicular segments. Author: Me #geometry #polygon #perpendicular #dodecagon #squares #euclideangeometry #puzzles #elementarygeometry #mathematics #study

@mathwithvan Well done!

Havefun with Analytical Geometry Methods :D

@kazakov_yu Nice! 😊