The height PH, PH = 15, HK = 8 is drawn in the triangle CPK from the vertex P. Find the PK side.

Since the PH is the height of the СРК triangle, the РНA triangle is rectangular.
From the РНA triangle, according to the Pythagorean theorem, we determine the length of the РK hypotenuse.
PK^2 = PH^2 + НK^2 = 15^2 + 8^2 = 225 + 64 = 289.
RK = √289 = 17 cm.
Answer: The length of the side of the РK is 17 cm.



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