Mathematics Question and Solution
Calculating r, radius of the half circle.
Let y be the height of the isosceles triangle.
a²+3² = y²
a = √(y²-9) units.
Calculating y.
√(y²-9) ~ y
3 ~ 5
Cross Multiply.
3y = 5√(y²-9)
9y² = 25y²-225
25y²-9y² = 225
16y² = 225
y = √(225/16)
y = 15/4 units.
y = 3.75 units.
Again, y is the height of the isosceles triangle.
b² = 5²+y²
b² = 5²+3.75²
b = √(5²+3.75²)
b = 6.25 units.
It implies, radius of the half circle, r is;
r = ½(b)
r = ½(6.25)
r = 3.125 units.
