The lengths of the sides of a triangle are in the ration 3:4:5 and its perimeter is `144 c mdot` Find the area of the triangle and the height corresponding to the longest side.

Explanation

To solve the problem step by step, we will follow these instructions:

### Step 1: Determine the lengths of the sides of the triangle.
The sides of the triangle are in the ratio 3:4:5. Let the sides be represented as:
- Side A = 3x
- Side B = 4x
- Side C = 5x

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