Point H is the base of the height BH drawn from the vertex of the right angle B of the right triangle ABC. A circle with diameter BH intersects sides AB and CB at points P and K, respectively. Find PK if BH = 13
∠KBP = 90 ° (by condition)
A right triangle KPB with hypotenuse PK is inscribed in a circle.
Therefore, PK is the diameter of the circle. (by the circumscribed circle theorem).
KP = BH = 13
Answer: PK = 13
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.