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# A triangle can be formed having side lengths 4, 5, and 8. It is impossible, however, to construct a triangle with side lengths 4, 5, an

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A triangle can be formed having side lengths 4, 5, and 8. It is impossible, however, to construct a triangle with side lengths 4, 5, and 10. Using the side lengths 2, 3, 5, 7, and 11, how many different triangles with exactly two equal sides can be formed?

Aug 12, 2017

#1
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2, 3, 5, 7, and 11

The triangles will be isosceles.....

The possible triangles are :

2 2 3      3 3 2        5 5 2       7 7 2         11  11  2

3 3 5        5 5 3       7 7 3         11  11  3

5 5 7       7 7 5         11  11  5

7 7 11       11  11  7

So...14   triangles are possible

Aug 12, 2017
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Ignore this comment...

TheXSquaredFactor  Aug 12, 2017
edited by TheXSquaredFactor  Aug 13, 2017
#3
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I think that the question said ' with exactly two equal sides '.

Guest Aug 13, 2017
#4
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Yes, guest, you are correct. Thanks for pointing that out. Cphill's answer is right.

TheXSquaredFactor  Aug 13, 2017