Mathematics Question and Solution
Observing similar plane shape (right-angled triangle) side length ratios.
3 - 5
a - (4-a)
Cross Multiply.
5a = 3(4-a)
5a = 12-3a
8a = 12
a = (3/2) units.
b = 4-a
b = 4-(3/2)
b = (5/2) units.
c = √(3²+(3/2)²)+√(5²+(5/2)²)
c = √(¼(45))+√(¼(125))
c = ½(3√(5))+½(5√(5))
c = ½(8√(5)) units.
c = 4√(5) units.
It implies;
Calculating the required length, x.
c² = 3²+x²
(4√(5))²-3² = x²
x² = 80-9
x = √(71) units.
x = 8.4261497732 units.
