SOLUTION: True or False. If two isoceles triangles have congruent legs but noncongruent bases, then the triangle with the longer base has the smaller base angles.

Question 18609: True or False.
If two isoceles triangles have congruent legs but noncongruent bases, then the triangle with the longer base has the smaller base angles.
Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!
true
you can prove it using the theorem that in a triangle angle opposite bigger side is bigger and by taking the following 2 cases..
case1...base is just smaller than one of the equal sides...in this case base angle is bigger than the vertex angle by the above theorem
case 2 now make more..just more than one of the equal sides in this case base angle is smaller than the vertex angle by the above theoremwhich proves the truth

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