Final answer:
The length of the third side of Sita's triangular farm is 50 meters, calculated by subtracting the sum of the two known side lengths from the total perimeter of the triangle.
Step-by-step explanation:
Sita used 170m of rope to fence her triangular farm. She knows the lengths of two sides, which are 50m and 70m. To find the length of the third side, we can use the perimeter formula for a triangle:
P = a + b + c
In this case, 'P' is the total perimeter (170m), 'a' and 'b' are the known side lengths (50m and 70m respectively), and 'c' is the unknown side length we are looking to find. By substituting 'P', 'a', and 'b' into the formula, we get:
170 = 50 + 70 + c
Therefore, to find 'c', we can rearrange the equation:
c = 170 - (50 + 70)
c = 170 - 120
c = 50m
Hence, the length of the third side of Sita's triangular farm is 50 meters.