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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The values are and
Explanation:
From the figure, we can see that the two quadrilaterals are similar.
Thus, by the property of quadrilateral, for similar quadrilaterals, their corresponding angles and sides are congruent. Thus, we have,
∠D = ∠S, ∠E = ∠P, ∠G = ∠R and ∠F = ∠Q
Also, GF = QR and DE = PS
Where QR = and ∠D = 102°, ∠G = 84° and ∠F = 68°, ∠Q =
°
Hence, to determine the value of x for the side QR, we have,
Equating the values in GF = QR,we get,
Thus, the value of x is 8.
Substituting x in the angle Q to determine the value of y.
Thus, we have,
∠F = ∠Q
Thus, the value of y is 10.
Hence, The values are and