The sides of a triangle are in the ratio of 1/9:1/11:1/13 and its perimeter is 718 cm . Find the length of its longest side in metre.

Correct option is A

Given:
Ratio of sides = 1/9 : 1/11 : 1/13
Perimeter = 718 cm
Formula Used:
Perimeter = Sum of all sides
Solution:
Find a common base for the ratio by multiplying with the LCM of 9, 11, and 13 (which is 1287):
Ratio = $$\frac{1287}{9} : \frac{1287}{11} : \frac{1287}{13}$$​​
Ratio = 143 : 117 : 99
Let the sides be 143x, 117x, and 99x.
Sum of the sides (Perimeter) = 143x + 117x + 99x = 359x
We know the perimeter is 718 cm:
359x = 718
x = 2
The longest side corresponds to the largest ratio value (143):
Longest side = 143 × 2 = 286 cm
Convert the length to meters:
286 cm = 2.86 m
Final Answer
So the correct answer is (a)