In right-angled triangles ABC with hypotenuse AC, the height BK is drawn. Angle C is 60 degrees.
July 24, 2021 | education
| In right-angled triangles ABC with hypotenuse AC, the height BK is drawn. Angle C is 60 degrees. What is the side of AK if CK = 5 cm?
In a right-angled triangle, BKC tg60 = BK / KC.
BK = KC * tg60 = 5 * √3 cm.
The height BK is drawn from the top of the right angle to the hypotenuse AC, then:
BK ^ 2 = AK * CK.
AK = BK ^ 2 / CK = (5 * √3) 2/5 = 15 cm.
Answer: The length of the AK segment is 15 cm.
One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.