Sir Mike Ambrose is the author of the question.
Calculating area red/area square.
Let the single side length of the ascribed square be 2 units.
Therefore;
Area square is;
2*2 = 4 sq...
Georg Cantor (1845-1918)
Of all the great mathematicians, Cantor most perfectly fulfils the (Hollywood) stereotype that a genius for maths and mental illness are somehow inextricable. Cantor's mos...
Kindly move the question right/left one time to review the solution.
Thank you nicely.
Let Alpha be x.
Calculating tanx.
Angle ABD = Angle ACD = y.
Let AB = AC = a.
Let AD = b.
b² = a²+10²-2a*10cosy
b² = a²+100-20acosy --- (1).
b² = a²+6²-2a*6cosy
b² = a²+36-12aco...
Calculating x.
tana = 30/40
a = atan(¾)°
Let y be each of the two equal lengths.
b² = y²+x²
b = √(y²+x²) units.
It implies;
y+b = 40
y+√(y²+x²) = 40
y²+x² = (40-y)²
x² = 1600-...
Banana the Frog-Chasing Pup.
Once upon a sunny street, there lived a dog named Banana. He was no ordinary pup; his love for bananas was unmatched. Every morning, he'd eagerly await the fruit truck...
Calculating the ascribed square area.
Let x be the square side length.
a = 6+7
a = 13 units.
b²+x² = 13²
b = √(169-x²) units.
Calculating x², area of the ascribed square..
√(169-x²...
Calculating Area Yellow.
a = (3+x) units.
a is the width of the ascribed rectangle.
b = 2(7)
b = 14 units.
b is the length of the ascribed rectangle.
c = ½(a)
c = ½(3+x) units.
tany...
Calculating Length x.
Let Alpha be y.
Again.
Let AB = a.
b = 2+6
b = 8 units.
tany = a/8 --- (1).
tany = 2/a --- (2).
Equating (1) and (2).
(a/8) = (2/a)
Cross Multiply....
Leonhard Euler (1707- 1783)
The most prolific mathematician of all time, publishing close to 900 books. When he went blind in his late 50s his productivity in many areas increased. His famous form...
