The angles of a triangle are in the ratio 3:4:5. Find the smallest angle.A) 30 ∘ B) 45 ∘ C) 60 ∘ D) 75 ∘

Question

The angles of a triangle are in the ratio 3:4:5. Find the smallest angle.A)      30          ∘      B)      45          ∘      C)      60          ∘      D)      75          ∘

smakkie8iz · Accepted Answer

The correct answer is B:       45          ∘      Given that the angles of a triangle are in the ratio 3:4:5.Let the measure of the angles be 3x,4x,5x.We know that, the sum of the angles of a triangle =      180          ∘      Thus,  3  x  +  4  x  +  5  x  =      180          ∘        ⇒  12  x  =      180          ∘        ⇒  x  =            180              ∘              12    ⇒  x  =      15          ∘      Thus,Smallest angle =3x  =  3  ×      15          ∘        =      45          ∘

The angles of a triangle are in the ratio 3:4:5. Find the smallest angle.A) 30...

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