On the segment AB, point C is taken, while the length of the segment AC is 0.65 of the length

On the segment AB, point C is taken, while the length of the segment AC is 0.65 of the length of the segment BC Find the length of the segment AB if the length of the segment BC is greater than the length of the segment a q by 0.98 m.

Let us denote the length of the BC segment by x:
| BC | = x.

By condition | AC | shorter | sun | by 0.98 meters:
| AС | = x – 0.98.

Let’s make the equation:
0.65 * x = x – 0.98;
0.35 * x = 0.98;
x = 2.8 m – aircraft segment length.

Let’s find what the length of the AС is equal to:
| AС | = x – 0.98 = 2.8 – 0.98 = 1.82 m.

We calculate the length AB:
| AB | = | AC | + | ВС | = 2.8 + 1.82 = 4.62 m.

Answer: The length of the segment AB is 4.62 meters.