can we construct a triangle abc in which angle a=105 ,angle b =75 and ab+bc+ac=12?

Dear Student,

Please find below the solution to the asked query:

Given : A triangle ABC in which $\angle$ A =105$°$ , $\angle$ B =75$°$ and AB +  BC + AC = 12

We know from angle sum property of triangle that sum of all three angles in triangle is  180$°$ , So

$\angle$ A  + $\angle$ B + $\angle$ C =180$°$  , Substitute given values we get

105$°$  + 75$°$  + $\angle$ C =180$°$ 

$\angle$ C = 0$°$ 

So, We can say from given information we can't construct any triangle .


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