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 r=2 cm  r=a+bc2  a+b=c+2r  c=172 r=172 2=13 cm
a2+b2=c2 a2+(17a)2=132  2a234a+120=0  p=2;q=34;r=120 D=q24pr=34242120=196 D>0  a1,2=q±D2p=34±1964 a1,2=34±144 a1,2=8.5±3.5 a1=12 a2=5   Factored form of the equation:  2(a12)(a5)=0  a=a1=12 cm

Our quadratic equation calculator calculates it.

b=17a=1712=5 cm

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