Triangle ABC v2

The area of the triangle is 12 cm square. Angle ACB = 30º , AC = (x + 2) cm, BC = x cm. Calculate the value of x.

Correct answer:

x =  -8 cm

Step-by-step explanation:

S=12 sin 30° = h/x  h = x sin30° S = 1/2 (x+2)h S = 1/2 (x+2)x. sin30° 12 = 1/2   0.5 x(x+2) 12=1/2 0.5x (x+2)  12=1/2 0.5 x (x+2) 0.25x20.5x+12=0 0.25x2+0.5x12=0  a=0.25;b=0.5;c=12 D=b24ac=0.5240.25(12)=12.25 D>0  x1,2=2ab±D=0.50.5±12.25=1±49 x1,2=1±7 x1=6 x2=8 x>0 , x>2 x=x2=(8)=8 cm

Our quadratic equation calculator calculates it.


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
Are you looking for help with calculating roots of a quadratic equation?
Do you have a linear equation or system of equations and looking for its solution? Or do you have a quadratic equation?
See also our right triangle calculator.
See also our trigonometric triangle calculator.

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

Related math problems and questions: