Question

choose a correct one--what are the possible dimensions for constructing a triangle of perimeter 5m? a-1m,1m,3m b- 1m,2m,2m

Answer 1

(b) is the correct one

Answer 2

Given:

The perimeter of the triangle=5m

To find:

The possible dimensions of a triangle

Solution:

The dimensions that are possible to form a triangle are 1m, 2m, 2m. (Option b)

We are provided that the triangle's sides' sum is 5m.

Let the sides of the triangle be a, b, & c.

So, a=1m, b=2m, and c=2m.

We are aware that, in any triangle, on adding any two sides of the triangle, the sum should be greater than the remaining side.

Using this, a+b>c

b+c>a

a+c>b

Now we will substitute the measures of a, b, & c to verify.

i. a+b>c

1+2>2

ii. b+c>a

2+2>1

iii. a+c>b

1+2>2

Therefore, the dimensions that are possible to form a triangle are 1m, 2m, 2m.