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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 ?

User Marquitos
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1 Answer

3 votes

Answer:

4

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.

User Kdubs
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