Let the side length of the three congruent regular hexagon be 1 unit each.
Notice.
The inscribed green triangle is equilateral.
a² = 2-2cos120
120° is the single interior angle of one of...
Calculating angle x.
tana = 1/3
a = atan(1/3)°
b² = 3²+1²
b = √(10) units.
1 - c
√(10) - 6
Cross Multiply.
√(10)c = 6
c = ⅗√(10) units.
c = 1.8973665961 units.
d² = 3²+1.8973...
Let a be the side length of the inscribed red equilateral triangle.
It implies;
(5/sin120) = (2.5/sinb)
b = 25.6589062733°
c = 60-b
c = 34.3410937267°
Calculating a.
a² = 2.5²+5²-2...
Sir Mike Ambrose is the author of the question.
Let BC be 1 unit.
Therefore;
AB is 2 units.
Area small square is;
(⅓√(13))²
= (13/9) square units.
Area blue is;
Area trapezium w...
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...
