In a right-angled triangle ABC with a hypotenuse AB and an angle B equal to 60, the height CD is drawn. Find AD if DB = 2cm.

Since the СD is the height of the ABC triangle, the AСD and ВСD triangles are rectangular.

In a right-angled triangle, ВСD tg60 = СD / ВD.

СD = ВD * tg60 = 2 * √3 cm.

In the ВСD triangle, the ВСD angle = (90 – 60) = 30.

In the AСD triangle, the AСD angle = (90 – 30) = 60.

Then the triangles AСD and ВСD are similar in acute angle.

From the similarity of the triangles BP / СD = СD / ВD.

BP = SD2 / ВD = 12/2 = 6 cm.

Answer: The length of the blood pressure segment is 6 cm.