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Maharashtra State BoardSSC (English Medium) 9th Standard

Sketch proper figure and write the answer of the following question. If X-Y-Z and l(XZ) = 37, l(XY) = 7, then l(YZ) = ?

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Question

Sketch proper figure and write the answer of the following question.

If X-Y-Z and l(XZ) = `3sqrt7`, l(XY) = `sqrt7`, then l(YZ) = ?

Sum
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Solution

We have,

l(XZ) = 3`sqrt7`;  l(XY) = `sqrt7`

Now,

l(XZ) = l(XY) + l(YZ)   ...(X-Y-Z)

So, l(YZ) = l(XZ) − l(XY)

∴ l(YZ) = `3sqrt7 − sqrt7`

∴ l(YZ) = `2sqrt7`

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Co-ordinates of Points and Distance
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Chapter 1: Basic Concepts in Geometry - Practice set 1.1 [Page 5]

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Balbharati Mathematics 2 [English] Standard 9 Maharashtra State Board
Chapter 1 Basic Concepts in Geometry
Practice set 1.1 | Q 6. (iii) | Page 5

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