A semicircle is constructed in the segment AB as on the diameter. Its radius is 10 cm. Construct point C

| June 12, 2021 | education

A semicircle is constructed in the segment AB as on the diameter. Its radius is 10 cm. Construct point C on a semicircle such that the distance from this point to one of the ends of the diameter is 4 cm greater than to the other. How many solutions does the problem have?

Taking into account the fact that the diameter has two ends and the radius is always the same, we can say that point A can be a point, the distance from which to point C can be 4 cm shorter than the distance from point C to the second end of the diameter – B.
At the same time, based on the equality of the radii on the entire semicircle, it can be argued that, like point A, point B can also be that point, the distance from which to point C is 4 cm shorter than the distance from point C to the second point, which is point A.
ANSWER: there are only two such options.



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