High School

the sides of a triangle have lengths 7.5, 11, and x. if x is an integer, what is the least possible value of x ?

Answer :

Answer:

4

Step-by-step explanation:

The triangle inequality theorem tells us the range of a third side of a triangle if we know the other two sides. Basically you only need to know how to add and subtract.

The third side has to be less than:

11 + 7.5

that is less than 18.5.

And the third side has to be more than:

11 - 7.5

That is, more than 3.5.

"integer" just means no decimals or fractions, so round up to 4.

4 is the smallest whole number that the third side can be.