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In ΔABC, if AB < AC < BC, then what is the relation between the values of (AB + AC) and BC? - Mathematics

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Question

In ΔABC, if AB < AC < BC, then what is the relation between the values of (AB + AC) and BC?

Sum
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Solution

Given: AB < AC < BC

Step-wise calculation:

By the triangle inequality, the sum of any two sides is greater than the third.

So, AB + AC > BC.

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Chapter 8: Triangles - Exercise 8D [Page 182]

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Nootan Mathematics [English] Class 9 ICSE
Chapter 8 Triangles
Exercise 8D | Q 9. (b) | Page 182
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