Hypotenuses 83154

In a right-angled triangle ABC with a right angle at the vertex C, the magnitudes of the hypotenuses are given ta=5, tb=2√10.
Calculate the side sizes of triangle ABC and the circle's radius described by this triangle.

Correct answer:

a =  6
b =  4
c =  7.2111
R =  3.6056

Step-by-step explanation:

t1=5 t2=2 10=2 106.3246  t12 = (a/2)2 + b2 t22 = (b/2)2 + a2  t12 = (t22  (b/2)2)/4 + b2 4t12 = t22  (b/2)2 + 4b2 4t12  t22 = 4b2  b2/4 16t12  4t22 = 16b2  b2 16t12  4t22 = 15b2  b=1516 t124 t22=1516 524 6.32462=4  a=t22(b/2)2=6.32462(4/2)2=6
c=a2+b2=62+42=2 13=7.2111
R=c/2=7.2111/2=13=3.6056

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 are 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   video2

Related math problems and questions: