Question

У трикутнику АВС кут А=80° кут В=40° . Бісектриса кута С перетинаж сторону АВ у точці Д . Знайдіть кут СДА

Answer 1

Объяснение:

найдем /_С= 180- (80+40)= 60

Рассмотрим тр.АСД. /_А=80, /_АСД=

60:2 = 30. /_СДА = 180- (40+30)= 110'

Answer 2

Finding the Angle SDA in Triangle ABC

To find the angle SDA in triangle ABC, we can use the properties of angles and bisectors in a triangle.

Given: - Angle A = 80° - Angle B = 40° - The angle bisector of angle C intersects side AB at point D.

Solution:

1. Find Angle C: - The sum of the angles in a triangle is 180°. - So, Angle C = 180° - Angle A - Angle B - Angle C = 180° - 80° - 40° - Angle C = 60°

2. Use Angle Bisector Theorem: - According to the Angle Bisector Theorem, the angle bisector of an angle in a triangle divides the opposite side in the ratio of the adjacent sides. - Let's denote the length of AD as x and the length of DB as y.

3. Apply Angle Bisector Theorem: - Using the Angle Bisector Theorem, we can set up the following equation: - AD/DB = AC/CB

4. Calculate the Lengths: - We need to find the lengths of AD and DB to proceed further.

5. Find Angle SDA: - Once we have the lengths of AD and DB, we can use trigonometric ratios or the properties of angles in a triangle to find angle SDA.

Conclusion:

By using the given angles and the properties of angle bisectors in a triangle, we can find the angle SDA in triangle ABC.