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?

AdminMod2
Aug 12, 2017

#1**+1 **

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

CPhill
Aug 12, 2017

#4**0 **

Yes, guest, you are correct. Thanks for pointing that out. Cphill's answer is right.

TheXSquaredFactor
Aug 13, 2017