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Find the distance between the points (0, 0) and (36, 15). Can you now find the distance between the two towns A and B discussed in Section 7.2. - Mathematics

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Question

Find the distance between the points (0, 0) and (36, 15). Can you now find the distance between the two towns A and B discussed in Section 7.2.

Sum

Solution

Distance between points (0,0) and (36,15)

= `sqrt((36-0)^2+(15-0)^2)`

= `sqrt(36^2+15^2)`

= `sqrt(1296+225)`

= `sqrt(1521)`

= `sqrt(39^2)`

= 39

Yes, we can find the distance between the given towns A and B.

Assume town A at origin point (0, 0).

Therefore, town B will be at point (36, 15) with respect to town A.

And hence, as calculated above, the distance between town A and B will be

39 km.

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Chapter 7: Coordinate Geometry - Exercise 7.1 [Page 161]

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NCERT Mathematics [English] Class 10
Chapter 7 Coordinate Geometry
Exercise 7.1 | Q 2 | Page 161

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