In a triangle ABC, the sides are equal (AB = BC). BK – height. Find the side of the AC if the segment KC = 11 cm.

Since, by condition, the sides of the triangle are equal, the triangle ABC is isosceles with the base of the AC. Then the height of the ВК, drawn to the base of the isosceles triangle, is also its median, then AK = СK = 11 cm.
AC = AK + СK = 11 + 11 = 22 cm.
Answer: The length of the speaker side is 22 cm.

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