Let a be the side of the square.
cos30 = b/8
b = 4√(3) cm.
sin30 = c/8
c = 4 cm.
a = b+12
a = (12+4√(3)) cm.
Area Square is;
a²
= (12+4√(3))²
= 358.27687752661 cm²
d² = 12²+4²-2*4*12cos30
d =...
Sir Mike Ambrose is the author of the question.
Let the two equal side length of the ascribed isosceles triangle be 1 unit.
Therefore;
Area triangle ABC is;
½(1*1sin36)
= ½(sin36) space unit.
= 0.2...
Area green is;
Area square with side 6 unit + 4(Area sector with radius 6 unit and angle 60° - Area equilateral triangle with side 6 unit) - Area square with diagonal (6√(3)-6) unit - 4(area secto...
6a = 4*17
a = ⅓(34) units.
b = ½(4+17)
b = ½(21) units.
c = b-4
c = ½(21)-4
c = ½(21-8)
c = ½(13) units.
d = ½(a+6)
d = ½(⅓(34)+6)
d = ½*⅓(34+18)
d = ½*⅓(52)
d = ⅓(26) units.
It implies, radius...
Let the square side be a.
2(a-14)² = 14²
(a-14)² = 98
a = 14+7√(2) units.
Green area length and width is;
Length = 14+7√(2)-18
= 7√(2)-4 units.
Width = 14+7√(2)-10
= 4+7√(2) units.
= (4+7√(2))(7√...
Let AB be 2 unit.
Therefore CD = 1 unit.
It implies;
Area Blue is;
Area triangle with height 0.72111025509 unit and base sin(atan(3/2)) unit.
= 0.5*0.72111025509sin(atan(3/2))
= 3/10 space unit....
Let the square side be x.
x²+(x-4)² = a²
a = √(2x²-8x+16)
b² = 2²+(x-2)²
b = √(x²-4x+8)
It implies;
(½(a))²+6² = b² --- (1).
And;
a = √(2x²-8x+16)
b = √(x²-4x+8)
It implies, subs...
Area brown exactly in square unit decimal is;
Area triangle with height 2 unit and base (1.93220910506sin(120-atan(2√(3))) unit.
= (1.93220910506sin(120-atan(2√(3)))) cm²
= 1.39230484541 cm²
Notice;
The side length of the regular hexagon is 2 units.
a = ½(2)
a = 1 unit.
a is half the length of the regular hexagon.
b = sin60
b = (√(3)/2) units.
c = sin30
c = ½ units.
d = 1+2(½)
d = 2...
Shaded area exactly in cm² is;
Area triangle with height 84 cm and base 13 cm - Area triangle with height 10 cm and base 24 cm + Area triangle with height (65/12) cm and base 13 cm.
= (½*13*84) -...
