Question

what are the possible dimensions for constructing a triangle of perimeter of 5 m?
1 m, 1 m, 3 m
(ii) 1 m, 2 m, 2 m​

Answer 1

Answer:

1. 2.5 , 1.5 , 1

2. 1.5 , 1.5 , 2

3. 3 , 1.5 , 0.5

Answer 2

Answer:

(ii) 1 m, 2 m, 2 m​

Step-by-step explanation:

It is because, according to triangle inequality theorem to construct a triangle the sum of any two sides of the triangle should be greater then the third side, so here -

1. 1m + 2m = 3m > 2m
2. 2m + 2m = 4m > 1m
3. 2m + 1m = 3m > 2m

Hence option (ii) is possible for constructing a triangle of perimeter 5m