Method A.
15² = (0.5*24)²+a²
a² = 225-144
a = √(81)
a = 9 units.
a is the side length of the two equal lengths each.
tanb = 9/12
b = atan(¾)°
c = 90-b
c = atan(4/3)°
Therefore, r,...
a*x = 15*15
ax = 225
a = 225/x --- (1).
(30+a)*x = (30+15)*(30+15)
ax+30x = 2025 --- (2).
Substituting (1) in (2).
(225/x)x+30x = 2025
225+30x = 2025
30x = 2025-225
30x = 1800
x = 1...
Let R=the bigger inscribed circle radius.
Let r=the smaller inscribed circle radius.
It implies;
R+r=6√(3)-6=4.4
R+r=4.4 -------(1).
And the radius of the ascribed semi circle is 6 un...
a² = 2-2cos120
a = √(3) units.
(2/sin30) = (√(3)/sinb)
b = 25.6589062733°
c = 180-30-b
c = 124.3410937267°
d² = √(3)²+2²-2*2√(3)cos124.3410937267
d = 3.3027756377 units.
e² = 3.3027...
Let a be the side length of the regular hexagon.
Calculating a.
(14/sin60) = (16/sinb)
b = 81.7867892983°
c = 180-60-b
c = 38.2132107017°
It implies;
(a/sin38.2132107017) = (14/sin...
Observing similar plane shape (scalene triangle) side length ratios.
Therefore;
y - 8
20 - 22
It implies;
(y/20) = (8/22)
(y/20) = (4/11)
Cross Multiply.
11y = 80
y = 80/11 units.
y = 7.2...
3² = 2c²-2c²cos108
108° is the single interior angle of the regular pentagon.
It implies;
9 = 2.6180339887c²
c² = 3.4376941013
c = 1.8541019663 units.
c is the side length of the regular pent...
Let the side length of the regular pentagon be 1 unit.
a² = 2-2cos108
108° is the single interior angle of the regular pentagon.
a = 1.6180339887 units.
sin72 = b/1
b = 0.9510565163 units.
cos72...
Let the side length of the regular pentagon be 1 unit.
a² = 2-2cos108
108° is the single interior angle of the regular pentagon.
a = 1.6180339887 units.
Area Blue is;
0.5*1*1.6180339887s...
It implies;
2a² = √(2)²
Where a is the radius of the half circle.
Therefore;
2a² = 2
a² = 1
a = 1 unit.
Again, a is the radius of the half circle.
x (diameter of the half circle) is;...
