Find the height of a right-angled triangle, which is drawn from the top

Find the height of a right-angled triangle, which is drawn from the top of the right angle and divides the hypotenuse into 4cm and 16cm segments.

Right-angled triangle ABC
angle C = 90 degrees
CH – height
AH = 4 cm
HB = 16 cm
Find the height of CH -?
Solution: In a right-angled triangle, the height dropped from the vertex of the right angle is equal to the average proportional between the projections of the legs.
Then CH = √ (AН * HB). By the condition of the problem AН = 4 cm and HB = 16 cm, then
CH = √ (4 * 16);
CH = √4 * √16;
CH = 2 * 4;
CH = 8 cm.
Answer: 8 centimeters.