RT sides

Find the sides of a rectangular triangle if legs a + b = 17cm and the radius of the written circle ρ = 2cm.

Correct answer:

c =  13 cm
a =  12 cm
b =  5 cm

Step-by-step explanation:

a+b=17  cm ρ=2 cm  ρ=2a+bc  a+b=c+2ρ  c=172 ρ=172 2=13 cm
a2+b2 = c2 a2+(17a)2=132  2a234a+120=0 2 ...  prime number 34=217 120=2335 GCD(2,34,120)=2  a217a+60=0  p=1;q=17;r=60 D=q24pr=1724160=49 D>0  a1,2=2pq±D=217±49 a1,2=217±7 a1,2=8.5±3.5 a1=12 a2=5  a=a1=12=12 cm

Our quadratic equation calculator calculates it.

b=17a=1712=5 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: