Final answer:
In triangle MPS, if MP is x units and MS is three times longer than MP. The perimeter of the triangle is given as 66. Find the lengths of MP and MS.
Step-by-step explanation:
In triangle MPS, let MP be x units. Since MS is three times longer than MP, MS will be 3x units. The perimeter of the triangle is equal to the sum of the lengths of all three sides. Therefore, the perimeter of triangle MPS can be expressed as x + 3x + x = 66.
Simplifying the equation, we have 5x = 66. Dividing both sides of the equation by 5 gives us x = 13. Therefore, MP = 13 units and MS = 3 * 13 = 39 units.