Question:
In ΔABC, ∠A = 50° and ∠B = 60°. Determine the longest and shortest sides of the triangle.
Solution:
Given: In ΔABC, ∠A = 50° and ∠B = 60°
In ΔABC,
∠A + ∠B + ∠C = 180° (Angle sum property of a triangle)
Hence, the longest side will be opposite to the largest angle (∠C = 70°) i.e. AB.
And, the shortest side will be opposite to the smallest angle (∠A = 50° ) i.e. BC.