The perimeter of triangle LMP is 84 units.
In a triangle, the midsegment connects the midpoints of two sides and is parallel to the third side. In this case, MP is the midsegment of triangle LNO.
Given:
NO = 36 (length of one side),
LO = 30 (length of another side),
MN = 9 (length of the midsegment).
First, let's find the length of MP. The midsegment of a triangle is half the length of the third side.
Therefore, MP = 0.5 * NO.
MP = 0.5 * NO = 0.5 * 36 = 18
Now, to find the perimeter of triangle LMP, you add the lengths of the three sides:
Perimeter = LO + MP + NO = 30 + 18 + 36 = 84
So, the perimeter of triangle LMP is 84 units.