Triangle's 9731

Solve the triangle ABC if the side a = 52 cm, the height on the other side is vb = 21 cm, and the triangle's area is S = 330 cm2.

Correct answer:

b =  31.4286 cm
c1 =  25.1992 cm
c2 =  -25.1992 cm

Step-by-step explanation:

a=52 cm v2=21 cm S=330 cm2  S = 2b   v2  b=2 S/v2=2 330/21=7220 cm=31.4286 cm
S = s (sa)(sb)(sc) s = (a+b+c)/2 = a/2+b/2+c/2  S = (a/2+b/2+c/2) (a/2+b/2+c/2a)(a/2+b/2+c/2b)(a/2+b/2+c/2c) S = (a/2+b/2+c/2) (b/2+c/2a/2)(a/2+c/2b/2)(a/2+b/2c/2) 330 330=(a/2+b/2+c/2) (b/2+c/2a/2) (a/2+c/2b/2) (a/2+b/2c/2)  330 330=(52/2+31.428571428571/2+c/2) (31.428571428571/2+c/252/2) (52/2+c/231.428571428571/2) (52/2+31.428571428571/2c/2) 461.40688775515c2+292993.534=0 461.40688775515c2292993.534=0 c1,2=±292993.53436069/461.40688775515=±25.199213245 c1=25.199213245=25.1992 cm c2=25.199213245  c = 26.487  cm c=25.199 cm  s=(a+b+c)/2=(52+31.4286+25.199)/254.3138 cm S1=s (sa) (sb) (sc)=54.3138 (54.313852) (54.313831.4286) (54.313825.199)289.3683 cm2 S1=S

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
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: