Medians in right triangle

It is given a right triangle, and angle C is 90 degrees. I know it medians t1 = 8 cm and median t2 = 12 cm. How to calculate the length of the sides?

Correct answer:

a =  11.6847 cm
b =  5.465 cm
c =  12.8996 cm

Step-by-step explanation:

t1=8 cm t2=12 cm  t12=x2+(2y)2 t22=y2+(2x)2  x2=t124y2  y=154 t12t22=154 821222.7325 cm x=t124 y2=824 2.732525.8424 cm  a=2 x=2 5.8424=11.6847 cm
b=2 y=2 2.7325=5.465 cm
a2+b2=c2  c=a2+b2=11.68472+5.4652=12.8996 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
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   video2

Related math problems and questions: