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Solve the following question using appropriate Euclid’s axiom: Look at the figure. Show that length AH > sum of lengths of AB + BC + CD. - Mathematics

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Question

Solve the following question using appropriate Euclid’s axiom:

Look at the figure. Show that length AH > sum of lengths of AB + BC + CD.

Sum

Solution

Given in the question, AB, BC and CD are parts of line.

Then, AB + BC + CD = AD   ...(i)

And AD is the part of line AH.

Now, By Euclid’s axiom 5, the whole is greater than the part.

So, AH > AD

That is length AH > sum of length of AB + BC + CD  ...[By using (i)]

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Chapter 5: Introduction To Euclid's Geometry - Exercise 5.3 [Page 50]

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NCERT Exemplar Mathematics [English] Class 9
Chapter 5 Introduction To Euclid's Geometry
Exercise 5.3 | Q 3. | Page 50

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