In a right-angled triangle ABC (angle C = 90 degrees) CD is the median. Find the angle DCB, there is CD = 5.3, BC = 4.7.
| August 31, 2021 | education
Since triangle ABC is rectangular, and CD is the median drawn to the hypotenuse, the length of the median is equal to half the length of the hypotenuse.
CD = AB / 2.
AB = 2 * CD = 2 * 5.3 = 10.6 cm.
The BCD triangle is isosceles with the BC base, then the angle DCB = DBC.
In the triangle ABC, CosB = BC / AB = 4.7 / 10.6 = 0.44.
Angle ABC = DCB = arcos0.44 = 63.5.
Answer: The value of the angle DCB is equal to 63.5.
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.
