Answer:
To find the length of each side of the triangle, we can use the distance formula:
Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
MP = sqrt((7-1)^2 + (9-1)^2) = sqrt(6^2 + 8^2) = sqrt(100) = 10
MN = sqrt((1-1)^2 + (9-1)^2) = sqrt(8^2) = 8
PQ = sqrt((7-7)^2 + (1-9)^2) = sqrt(8^2) = 8
To find the perimeter, we add the lengths of all three sides:
Perimeter = MP + MN + PQ = 10 + 8 + 8 = 26
Therefore, the length of each side of the triangle is 10, 8, and 8 units, and the perimeter is 26 units.