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

Try calculation via our triangle calculator.




Did you find an error or inaccuracy? Feel free to write us. Thank you!







Tips for related online calculators
Do you have a linear equation or system of equations and are looking for its solution? Or do you have a quadratic equation?
See also our trigonometric triangle calculator.

You need to know the following knowledge to solve this word math problem:


 
We encourage you to watch this tutorial video on this math problem: video1   video2

Related math problems and questions: