Mathematics Question and Solution
Let a be half AB.
b = ½(3+7+2)
b = 6 units.
It implies;
6² = a²+c²
c² = 36-a²
c = √(36-a²) units.
d = ½(7)
d = 3.5 units.
e = 4-3.5
e = 0.5 units.
Therefore;
c² = 0.5²+f²
f² = 36-a²-0.25
f² = 35.75-a²
f = √(35.75-a²) units.
Calculating a, radius of the red half circle (half AB).
a² = f²+3.5²
a² = √(35.75-a²)²+3.5²
2a² = 35.75+12.25
2a² = 48
a² = 24
a = 2√(6) units.
Again, a is the radius of the red half circle (half AB).
It implies;
AB = 2a
AB = 2*2√(6)
AB = 4√(6) units.
