2e. The triangular garden has sides with lengths in the ratio of 3:4:5. The path is 1m wide.
At each corner of the garden, the path is a sector (part) of a circle with a radius of 1m. The difference between twice the total area of the path and the area of the garden is 2πm2. Find the length of the longest side of the garden. (Area of circle = πr2)
The length of the bridge AB is 60.
The outside cables are also parabolic and symmetrical in shape, and touch the road at their vertices A and B.
Find the distance, CD, between the two parabolas at a height of 6 m above the road (the distance CD is shown in the diagram).