Question

The sides of a triangle are 10 cm, 6 em and x. Find the minimum value of x.
Solution:​

Answer 1

Answer:

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Step-by-step explanation:

It is given that lengths 10 cm, 6 cm, and x cm are the sides of a triangle.

We know that if two sides of a triangle are of lengths a and b, then the third side length c ranges from (a - b) to (a + b), but not including them i.e. (a - b) < c < (a + b).

Now, in our case (10 - 6) < x < (10 + 6)  

⇒ 4 < x < 16

So, the minimum value of x is governed by the condition x > 4

Therefore, the minimum value of x is 5 cm. (Answer)