Let a be the base of the blue inscribed triangle.
b = 4-1-a
b = (3-a) units.
c² = 2(1)²
c = √(2) units.
d² = 2(4)²
d = 4√(2) units.
e = d-c
e = 3√(2) units.
f² = a²+4²
f = √(a²+...
Calculating blue inscribed half circle area.
Let the radius of the blue inscribed half circle be a.
20² = 2b²
b² = 200
b = √(200)
b = 10√(2) units.
c²+(0.5b)² = a²
c² = a²-(5√(2))²
c...
Sir Mike Ambrose is the author of the question.
Area purple exactly in decimal is;
Area triangle with height 5cm and base 7.5cm - Area triangle with height 3cm and base 7.5cm - Area triangle wi...
Sir Mike Ambrose is the author of the question.
Notice;
The single length of the square is equal the single side length of half the regular hexagon.
Let it be 2 units.
Therefore area squa...
a = 8+10
a = 18 units.
a is GK.
b² = 18²-9²
b = √(243)
b = 9√(3) units.
b is DK.
tanc = 9√(3)/9
c = atan(√(3))
c = 60°
d² = 9²+8²-2*8*9cos60
d = √(73) units.
d = 8.5440037453 unit...
Sir Mike Ambrose is the author of the question.
Let the bigger regular pentagon side length be 1 unit.
a = √(2-2cos180)
a = 1.61803398875 units.
b = sin36/sin108
b = 0.61803398875 units....
Let the two congruent lengths be a each.
21² = a²+b²+2abcos135
441 = a²+b²+√(2)ab --- (1)
14² = a²+b²-2abcos45
196 = a²+b²-√(2)ab --- (2)
Adding (1) to (2).
637 = 2a²+2b²
b² = ½(637...
Area orange exactly in fraction is:
Area triangle with height 5√(3) cm and base 5 cm.
= ½(5√(3)*5)
= ½(25√(3)) cm²
= 21.6506350946 cm²
a = ½(5)
a = 2.5 units.
a is the radius of the inscribed half circle.
tanb = 2.5/5
b = atan(1/2)°
tan(atan(0.5)) = r/c
½ = r/c
c = 2r units.
d = 5-c
d = (5-2r) units.
e = (2.5-r)...
