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:

$$\begin{gathered} a+b=17\text{ cm } \\ \rho =2\text{ cm } \\ \rho ={\displaystyle \frac{a+b-c}{2}} \\ a+b=c+2\rho \\ c=17-2\cdot \rho =17-2\cdot 2=13\text{ cm} \end{gathered}$$

Our quadratic equation calculator calculates it.

$b=17-a=17-12=5\text{ cm}$

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