Circles

In the circle with a radius, 7.5 cm is constructed of two parallel chords whose lengths are 9 cm and 12 cm. Calculate the distance of these chords (if there are two possible solutions, write both).

Correct answer:

x =  10.5 cm
y =  1.5 cm

Step-by-step explanation:

$$\begin{gathered} r^2=7.5^2=x_1^2+(9/2{)}^2 \\ {r}^2=7.5^2=x_2^2+(12/2{)}^2 \\ {x}_1=6cm \\ {x}_2=4.5cm \\ x=x_1+x_2=10.5\text{cm} \end{gathered}$$

$y=|x_1-x_2|=1.5\text{cm}$

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