In an isosceles triangle ABC, a height is drawn to the base AC, the length of which is 19 cm, the angle CBD is 43 degrees
| July 11, 2021 | education
In an isosceles triangle ABC, a height is drawn to the base AC, the length of which is 19 cm, the angle CBD is 43 degrees. Determine the length of the segment CD and the angles ABD and ABC.
The height drawn in an isosceles triangle to the base is the bisector and median.
Therefore, angle ABD = angle CBD = 43;
angle ABC = angle ABD + angle CBD = 43 +43 = 86;
CD is found through the tangent of the angle CBD in a right-angled triangle CDB
tg (CBD angle) = CD / BD;
CD = BD * tg (43) = 19 * 0.93 = 17.1.
Answer: 17.1 cm; 43; 86.
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.
