Given: l║m, M ∉ l, M ∉ m. The distance between point M and line l is 4 cm, The distance between M and line m is 3 cm. Find the d
istance between parallel lines l and m. (Consider two possible positions for point M)
1 answer:
Answer: The distance between m and I can 7 cm or 1 cm.
Explanation:
According to the question, distance between point M and line m= 3 cm
Distance between point M and line I=4 cm
Since, according to the given data there can be two cases possible.
M can be a point between these two lines
In this case the distance between m and I = distance between point M and line m + distance between point M and line I= 3+4=7 cm
M can be the point above the line m(where line m is above the line I)
In this case the distance between m and I= Distance between point M and line I- distance between point M and line I= 4-3=1 cm
Note: we can not take the case in which M is the point above the line I where line I is above the line m because in that case distance between M and m must be greater than 3 which can not be possible.
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