Question

the lengths of two sides of triangle are 11 cm and 14 cm, respectively.between which two numbers must the length of third side fall?​

Answer 1

Answer:

We know that the sum of two sides of a triangle is always greater than the third.

Therefore, third side has to be less than the sum of the two sides. The third side is thus, less than 14 + 11 = 25 cm.

The side cannot be less than the difference of the two sides. Thus, the third side has to be more than 14 - 11 = 3 cm.

So, the length of the third side could be any length greater than 3 cm and less than 25 cm.

Step-by-step explanation:

Answer 2

Answer:

The length of the third side must be in between

3 and 25

Step-by-step explanation:

Points to remember:

Inequalities of triangle:

1. The sum of any lengths of two sides is greater than the length of the third side.
2. The difference of any lengths of two sides is less than the length of the third side.
3. Given lengths are 11 cm and 14cm
4. their sum is 25
5. their difference is 3
6. so, the length of the third side is in between 3 and 25
7. let the length of the third side c then 3<c<25