Q. 345.0( 4 Votes )
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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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