In triangle ABC AB = BC, BD is the median, ∠ABD = 40∘. Find the angle C.
| September 23, 2021 | education
1) Since the median in the equilateral triangle ABC divides the AC side in half, the median BD is also the height in the ABC triangle.
2) Consider a triangle ABD. ∠ВDA = 90 ° and ∠ АВD = 40 °.
Find ∠АВD.
∠ BAD = 180 ° – 90 ° – 40 ° = 90 ° – 40 ° = 50 °.
2) Since the triangle ABC is equilateral, the sides AB and BC are equal, then ∠ BAC = ∠BCA.
Hence, ∠ С = ∠ А = 50 °.
Answer: ∠ С = 50 °.
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.
