SOLUTION: A triangle has a base of length 13 and the other two sides are equal in length. If the lengths of the sides of the triangle are integers, what is the shortest possible length of a

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Question 387831: A triangle has a base of length 13 and the other two sides are equal in length. If the lengths of the sides of the triangle are integers, what is the shortest possible length of a side? ______
Answer by robertb(5830)   (Show Source): You can put this solution on YOUR website!
The triangle is isosceles, with a base of 13 and the common length of a leg equal to x. From the triangle inequality, x+ x = 2x > 13, or x > 6.5. The least integer satisfying this is 7.
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