Consider the triangles ABC and ABH.
∠A – general
∠AHB = ∠ABC
Therefore, these triangles are similar (by similarity)
Then AC / AB = AB / AH (the hypotenuse of the large triangle refers to the hypotenuse of the small as the small leg of the large triangle to the small leg of the small triangle)
24 / AB = AB / 6
24 * 6 = AB ^ 2
144 = AB ^ 2
AB = 12
Answer: AB = 12
Remember: The process of learning a person lasts a lifetime. The value of the same knowledge for different people may be different, it is determined by their individual characteristics and needs. Therefore, knowledge is always needed at any age and position.