SOLUTION: A triangle has two sides of length 4 and 3. What is the largest possible whole-number length for the third side?

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Question 1150836: A triangle has two sides of length 4 and 3. What is the largest possible whole-number length for the third side?

Found 2 solutions by Alan3354, greenestamps:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
6

Answer by greenestamps(13208)   (Show Source): You can put this solution on YOUR website!


Think of the sides of the triangle as three sticks.

Two of the sticks have lengths 4 and 3.

The total length of those two sticks is 7. If the third stick has length 7 or more, then the three sticks can't form a triangle.

So for the three sticks to form a triangle the length of the third stick must be less than 7. Since the problem asks for the largest whole number length of the third side, the answer is 6.


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