Points A and B are given at different sides from the straight line at distances of 9 cm and 4.8 cm from

| August 14, 2021 | education

Points A and B are given at different sides from the straight line at distances of 9 cm and 4.8 cm from the straight line, respectively. Determine the distance of the midpoint C of the line segment AB to the straight line. The distance from the point C to the straight line is?

The distance from point A to line O is 9 cm, the distance from currents B to line O is 4.8 cm.
1. Find the length of the segment AB:
AB = AO + BO = 9 + 4.8 = 13.8 (cm).
2. Since point C is the midpoint of the segment AB, then it divides AB into two equal segments AC and BC, then:
AC = BC = AB / 2 = 13.8 / 2 = 6.9 (cm).
3. Point C divides the segment AO into two segments AC and OC, which means:
AO = AC + OC.
Substitute the known values and find the length of the segment OC, which is the distance from point C to point O (to line O):
6.9 + OC = 9;
OC = 9-6.9;
OC = 2.1 cm.
Answer: OC = 2.1 cm.



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