Question

Question #d5446

Answer 1

See explanation.

Explanation:

The triangle sides are `20,11` and `x`. According to the triangle inequality the sum of any 2 sides must be greater than the remaining side.

If we apply the rule to the given values we get the system of inequalities:

`{(20+11>x),(20+x>11),(11+x>20):}` ##

If we solve the inequalities we get:

`{(x<33),(x> -9),(x>9):}`

So the set of solutions of the system is: `x in (9;33)`

Answer: The smallest whole number length of the third side is `10`