Question

The lengths of three line segments are 3.1 cm, 6.1 cm and x cm. If x is

given to be a natural number, then find the minimum value of x, so that the

formation of a triangle is possible with these line segments.​

Answer 1

Answer:

Is your question , minimum & maximum value of THIRD side? And do you want these values from the set of natural (means COUNTING numbers)?

first side = 3, second side = 6, third side=?

We know, the sum of any 2 sides of a triangle is greater than the third side..

So, third side should be smaller than 3+ 6

ie, third side < 9 ……..(1)

But , third side + first side > 6

Or, third side + 3 > 6

=> third side > 3 ……….(2)

By(1) & (2)

Third side lies between 3 & 9

Maximum value is nearest to 9 & minimum value is nearest to 3.

In integer form: Maximum value of third side = 8 cm

& Minimum value of third side = 4 cm

Step-by-step explanation:

Answer 2

Answer:

5

Step-by-step explanation:

ans it is minimum hence it can't be hypotenuse so.

(6.1)^2= (3.1)^2 + x^2

if we solve ans will be 5