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.

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