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# From the Information Given Below, Find Which of the Point is Between the Other Two. If the Points Are Not Collinear, State So. D(L, M) = 11, D(M, N) = 12, D(N, L) = 8 - Geometry

Sum

From the information given below, find which of the point is between the other two.
If the points are not collinear, state so.

d(L, M) = 11,   d(M, N) = 12,   d(N, L) = 8

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#### Solution

We have, d(L, M) = 11; d(M, N) = 12; d(N, L) = 8
Now, 11 + 12 = 23, so 11 + 12 ≠ 8; 12 + 8 = 20, so 12 + 8 ≠ 11 and 11 + 8 = 19, so 11 + 8 ​≠ 12
Since, the sum of the distances between two pairs of points is not equal to the distance between the third pair of points, so the given points L, M and N are non-collinear.

Concept: Co-ordinates of Points and Distance
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#### APPEARS IN

Balbharati Mathematics 2 Geometry 9th Standard Maharashtra State Board
Chapter 1 Basic Concepts in Geometry
Practice set 1.1 | Q 3.4 | Page 5
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