Question

Могут ли точки a b c принадлежать одной прямой если AB-2 CM BC-3CM AC-4CM

Answer 1

Это не алгебра, это геометрия. 

Точки А, В и С не лежат на одной прямой. Если бы они лежали на одной прямой, расстояние АС или суммой, или разностью расстояний АВ и ВС - в зависимости от того, в каком порядке они идут: если А,В и С, то сумма, если же С, А и В - то разность. В нашем случае 4 - это не сумма 2 и 3 и не их разность, т.е. данные три отрезка образуют треугольник; выполняется неравенство треугольника (a + b < c).

Answer 2

Can points A, B, and C belong to the same line if AB-2CM, BC-3CM, and AC-4CM?

To determine if points A, B, and C can belong to the same line, we need to analyze the given information. The given information states that AB is equal to 2 times CM, BC is equal to 3 times CM, and AC is equal to 4 times CM.

Let's break down the given information:

- AB-2CM: This means that the length of AB is equal to twice the length of CM. - BC-3CM: This means that the length of BC is equal to three times the length of CM. - AC-4CM: This means that the length of AC is equal to four times the length of CM.

Based on this information, we can see that the lengths of AB, BC, and AC are all related to the length of CM. However, we don't have any specific information about the lengths of AB, BC, and AC themselves.

Therefore, we cannot determine if points A, B, and C belong to the same line based solely on the given information. We would need additional information, such as the coordinates of the points or the lengths of AB, BC, and AC, to make a definitive conclusion.

Please let me know if there's anything else I can help you with!