In △ABC, if ∠B=∠C=45∘, then which of the following is/are the longest side(s)?
A
AB
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B
AC
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C
BC
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D
AB and BC
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Solution
The correct option is C BC
∠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.