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In △ABC, if ∠B=∠C=45∘, then which of the following is/are the longest side(s)?


Options:
A .   AB
B .   AC
C .   BC
D .   AB and BC
Answer: Option C
:
C

In △ABC, If ∠B=∠C=45∘, Then Which Of The Following...
∠A+∠B+∠C=180∘ (angle sum property of triangle)
⇒∠A+45∘+45∘=180∘⇒∠A=90∘
The side opposite to largest angle will be the longest side. Hence BC is the largest side.


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