In rectangular Δ ABC (LC = 90 degrees) AE-bisector CE = 5cm, AB = 14cm, find the area of Δ ABE.
| April 6, 2021 | education
Since AE is the median of the triangle ABC, then by its property:
AC / CE = AB / EB.
AC * BE = CE * AB = 5 * 14 = 70 cm2.
The leg AC is the height of the triangle ABE, then Save = BE * AC / 2 = 70/2 = 45 cm2.
Answer: The area of triangle ABE is 45 cm2.
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.
