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in triangle abc, if ab is the greatest side ,then prove that angle c >60deg ree

in triangle abc, if ab is the greatest side ,then prove that angle c >60degree

Grade:10

1 Answers

SHAIK AASIF AHAMED
askIITians Faculty 74 Points
7 years ago
Hello student,
Please find the answer to your question below
in a triangle abc
AB>AC and AB>BC
According to inequality theorem angles opposite to equal sides are equal and angle opposite to longest side will be largest and vice versa.
henceangle C>angle B and angle C>angle A
since in a triangle sum of all angles=180degree
therefore largest angle will be more than 60degree
example=let angle B=angle A =59degree
so angle C=180-(59+59)
angle C=180-118
angle C=62degree
Hence proved

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