Rhombus

It is given a rhombus of side length a = 19 cm. Touchpoints of inscribed circle divided his sides into sections a1 = 5 cm and a2 = 14 cm. Calculate the radius r of the circle and the length of the diagonals of the rhombus.

Correct answer:

r =  8.4 cm
u1 =  19.5 cm
u2 =  32.6 cm

Step-by-step explanation:

a1=5 cm a2=14 cm  a=a1+a2=5+14=19 cm  r2 = a1 a2  r=a1 a2=5 14=70=8.4 cm
(u1/2)2 = r2+a12  u1=2 r2+a12=2 8.36662+52=2 95=19.5 cm
(u2/2)2 = r2+a22  u2=2 r2+a22=2 8.36662+142=2 266=32.6 cm



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







Tips for related online calculators
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   video3

Related math problems and questions: