RT - inscribed circle

In a rectangular triangle with sides lengths> a = 30 cm and b = 12.5 cm, the right angle is at vertex C. Calculate the radius of the inscribed circle.

Final Answer:

r =  5 cm

Step-by-step explanation:

a=30 cm b=12.5 cm  c=a2+b2=302+12.52=265=32.5 cm  S=2a b=230 12.5=2375=187.5 cm2 s=(a+b+c)/2=(30+12.5+32.5)/2=275=37.5 cm  r=S/s=2375/275=2375:275=2375 752=2 75375 2=150750=5 cm

Try calculation via our triangle calculator.




Help us improve! If you spot a mistake, please let let us know. Thank you!







Tips for related online calculators
See also our right triangle calculator.
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: