Question

Точка С делит отрезок АВ на два отрезка.Как найти длину отрезка АВ,если известны длины отрезков АС и СВ?

Answer 1

АВ=АС+СВ ....................

Answer 2

Finding the Length of Segment AB Given the Lengths of Segments AC and CB

To find the length of segment AB when the lengths of segments AC and CB are known, you can use the concept of proportionality.

Let's assume that the length of segment AC is represented by 'a' and the length of segment CB is represented by 'b'. We want to find the length of segment AB.

According to the concept of proportionality, if two segments are divided by a point, the ratio of the lengths of the segments on one side of the point is equal to the ratio of the lengths of the segments on the other side of the point.

In this case, we can set up the following proportion:

AC/AB = AB/CB

To find the length of segment AB, we can rearrange the proportion:

AB = (AC * CB) / CB

Simplifying the equation, we get:

AB = AC

Therefore, the length of segment AB is equal to the length of segment AC.

Please note that this result holds true only when the point C divides the segment AB into two equal parts. If the point C does not divide the segment AB equally, the length of segment AB will be different.

I hope this helps! Let me know if you have any further questions.