OD = DM = 6√(2) cm.
a = atan(6√(2)/12)
a = 35.26438968275°
a = Angle OCD = Angle CDM.
tan35.26438968275 = b/(6√(2))
b = 6 cm.
b = EM.
EN = 6√(2)-6 cm.
EN = 2.48528137424 cm.
c = 12+6√(2)-6
c...
Let the congruent lengths be 1 unit.
(1/sin66) = (BC/sin84)
BC = 1.08863974644 units.
(AC)² = 1.08863974644²+1-2*1.08863974644cos78
AC = 1.31622742593 units.
(1.31622742593/sin78) = (1/sina)
a =...
Using 12 cm as AB.
Circle's radius, r = 6√(2) cm.
a = 45-atan(½)
a = 18.43494882292°
sin(atan(0.5)) = 6/b
b = 13.416407865 cm.
cos18.43494882292 = c/6√(2)
c = 8.049844719 cm.
d = 2*8.049844719 ...
Let the base of the triangle ascribing the green and yellow area b 1 unit.
tan55 = a/1
a = 1.42814800674 units.
tan55 = b/(1-b)
b = 0.58816349035 unit.
Where b is the side of the white and yellow...
Let BD be 1 unit.
(a/sin84) = (1/sin54)
a = 1.22929666779 units.
a is AC.
b = 180-54
b = 126°
b is angle BDC.
(BC)² = 1.22929666779²+1-2*1.22929666779cos126
BC = 1.98904379074 units.
Calculating...
Our certified, experienced, resilient, productive and committed Math Educators will be glad to be at your service.
We make teaching and learning Mathematics fun for learners, we expose the simplicit...
Notice;
Green regular hexagon's side is 8 cm.
sin60 = a/8
a = 4√(3) cm
Where a is the the height of the white triangle enclosed by the two green regular hexagon and the regular pentagon.
b = 2a...
Let triangle ABC height be a.
Calculating a.
½*8a = 16√(3)
a = 4√(3) cm.
b²+a² = 8²
b = √(64-(4√(3))²)
b = √(64-48)
b = √(16)
b = 4 cm.
Considering similar triangle ratios.
8 = c
12 = 4√(3)
Cro...
2a² = 12²
a = 6√(2) cm.
a = square side = OE = OC.
b = 180-45
b = 135°
b = Angle OEF.
(12/sin135) = (6√(2)/sinc)
c = 30°
c = Angle EFO.
d = 180-135-30
d = 15°
d = Angle EOF.
It implies;
Length...
a = 180-75-35
a = 70°
(12/sin70) = (b/sin35)
b = 7.32464753257 cm.
c =2*35
c =70°
Calculating R, radius of the ascribed bigger circle.
d = ½(180-70)
d = 55°
R is;
(R/sin55) = (7.32464753257/si...
