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Given: A=36° and B=64°

To find: The longest and shortest sides of the triangle

Given that A=36° and B=64°

Hence, by the angle sum property in ∆ABC, we have

A + B + C = 180°

36° + 64°+ C = 180°

100° + C = 180°

C = 80°

So, we have A=36°, B=64° and C = 80°

∴∠C is largest and A is shortest

Hence,

Side opposite to C is longest.

AB is longest

Side opposite to A is shortest.

BC is shortest

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