SOLUTION: In an isosceles triangle, if the base is longer than either leg, then would the measure of each base angle be greater than the measure of the vertex angle?

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Question 384945: In an isosceles triangle, if the base is longer than either leg, then would the measure of each base angle be greater than the measure of the vertex angle?
Found 2 solutions by richard1234, jsmallt9:
Answer by richard1234(7193)   (Show Source): You can put this solution on YOUR website!
It's impossible. Just draw an isosceles triangle and you'll see. Or, you can use the law of sines.
Answer by jsmallt9(3758)   (Show Source): You can put this solution on YOUR website!
This triangle is not impossible. For example, the sides could be 3, 3 and 4.

To answer the question, the largest angle of every triangle is opposite the largest side. So the angle opposite the base, the longest side, will be the largest angle. So the answer to the question is "no".

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