Since in a right-angled triangle one of the acute angles is 45, the second acute angle is also equal to (90 – 45) = 45, and therefore the ABC triangle is right-angled and isosceles.
AB = BC.
The median BM, in an isosceles triangle, also has a height and a bisector, then AM = CM = AC / 2 = 16/2 = 8 cm, angle ABM = 90/2 = 450, angle AMB = 90.
Then the triangle ABM is rectangular and isosceles, BM = AM = 8 cm.
Answer: The median length is 8 cm.
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.