Rectangular triangle PQR

In the rectangular triangle PQR, the PQ leg is divided by the X point into two segments, of which longer is 25cm long. The second leg PR has a length of 16 cm. The length of the RX is 20 cm. Calculate the length p of side RQ. The result is round to 2 decimal places. Units "cm"

Final Answer:

p =  40.31 cm

Step-by-step explanation:

$$\begin{gathered} p_1=\sqrt{20^2-16^2}=12 \\ {p}_2=p_1+25=12+25=37 \\ p=\sqrt{p_2^2+16^2}=\sqrt{37^2+16^2}=5\sqrt{65}=40.31\text{cm} \end{gathered}$$

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