Question

Медианы AD и СЕ треугольника АВС пересекаются в точке М. Найдите AD + СЕ, если АМ + СМ = 8.

Answer 1

Ответ:

12

Пошаговое объяснение:

2х+2у=8

3х+3у=12

Answer 2

Finding the Lengths of AD and CE

Given that the medians AD and CE of triangle ABC intersect at point M, and AM + CM = 8, we need to find the lengths of AD and CE.

The relationship between the medians and sides of a triangle is given by the equation: AD = (2/3) * AM and CE = (2/3) * CM.

Using the given information, we can calculate the lengths of AD and CE as follows:

AD = (2/3) * AM = (2/3) * 8 = 16/3.

CE = (2/3) * CM = (2/3) * 8 = 16/3.

Therefore, the lengths of AD and CE are both equal to 16/3.