Answer :

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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