Question

Given reasons to show that the construction of △ ABC is not possible BC = 5cm, ∠B = 80°, ∠C = 50° and ∠A = 60°.

Answer 1

It is given that BC = 5cm, ∠B = 80^o, ∠C = 50^o and ∠A = 60^o

The sum of any two sides of a triangle is greater than the third side

It can be written as

∠A + ∠B + ∠C = 60^o + 80^o + 50^o

So we get

∠A + ∠B + ∠C = 190^o > 180^o

Therefore, construction of △ ABC for the measurements given is not possible.