Sides of the triangle

Calculate triangle sides where its area is S = 84 cm2 and a = x, b = x + 1, xc = x + 2

Correct answer:

a =  13 cm
b =  14 cm
c =  15 cm

Step-by-step explanation:

S = s(sa)(sb)(sc) = 84 s = 2a+b+c = (3x+3)/2 = 1.5x +1.5 (1.5x +1.5)(1.5x +1.5x)(1.5x +1.5x1)(1.5x +1.5x2) = 842 (1.5x +1.5)(0.5x+1.5)(0.5x+0.5)(0.5x0.5)= 7056  0.1875 x4+0.75 x3+0.375 x20.75 x7056.56 = 0  x1=15 x2=13  a=x2=13=13 cm
b=a+1=13+1=14 cm
c=a+2=13+2=15 cm

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