Calculating z, the diagonal of the square.
9 - 14
y - 7
Cross Multiply.
Therefore;
14y = 63-9y
23y = 63
y = 63/23 units.
z = √(9²+y²)+√(14²+(7-y)²)
And y = 63/23 units.
z...
a² = 4
a = 2 cm.
a is the side length of the inscribed square.
b² = 2a²
b = √(2*2*2)
b = 2√(2) cm.
b is the radius of the ascribed semi circle.
tanc = 2/(2√(2))
c = atan(1/√(2))°
The...
Since;
AB = 2BC
It implies;
AB = (2/3)*12
AB = 8 cm.
BC = (1/3)*12
BC = 4 cm.
12 cm is the side length of the ascribed square.
tana = 12/8
a = atan(3/2)°
b = 90-a
b = atan(2/...
Sir Mike Ambrose is the author of the question.
Area blue is;
Area triangle with side 8.81712800181 cm and 7.80776406404 cm, and angle 19.3341412463°
= ½(8.81712800181*7.80776406404)sin19.3341...
Sir Mike Ambrose is the author of the question.
Area purple exactly in square cm decimal form is;
Area triangle with side 17.1220111351 cm and 15.6524758425 cm, and angle 75.963756532° - Area t...
(16-x)²+x² = 12²
256-32x+x²+x² = 144
2x²-32x+112 = 0
x²-16x+56 = 0
(x-8)² = -56+(64)
x = 8±√(8)
x = (8-√(8)) cm.
x = 5.1715728753 cm.
y = 16-x
y = 10.8284271247 cm.
Area triangle red...
Sir Mike Ambrose is the author of the question.
Area Orange exactly in its simplest decimal cm square form is;
Half area square with side 5√(5) cm - Half area square with side 4.472135955 cm -...
Let a be the radius of the quarter circle.
b = x°
c = (45-x)°
It implies;
sinx = 1/a --- (1).
sin(45-x) = 2/a --- (2).
At (1).
a = 1/sinx --- (3).
Substituting (3) in (2)....
Let the single side length of the equilateral hexagon be 1 unit.
Therefore;
Area blue is;
Area triangle with two sides 1 unit each, and angle 120° + Area triangle with base ½ units and hei...
Let a be 1 unit.
d = ⅙*180(6-2)
d = 120°
d is the single interior angle of the regular hexagon.
cos60 = e/1
e = 0.5 units.
f = a+2e
f = 2 units.
f is CF.
g² = 0.5²+2²-2*0.5*2cos60...
