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In ΔABC, if AB < BC < AC, name the largest and smallest angles of the triangle. - Mathematics

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Question

In ΔABC, if AB < BC < AC, name the largest and smallest angles of the triangle.

Sum
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Solution

Given: AB < BC < AC

This means:

  • AB is the shortest side 
  • AC is the longest side
  • BC is in between 

Step 1: Identify the largest angle

  • The longest side is AC.
  • The angle opposite AC is ∠B. 
  • So, ∠B is the largest angle.

Step 2: Identify the smallest angle

  • The shortest side is AB.
  • The angle opposite AB is ∠C. 
  • So, ∠C is the smallest angle.
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Chapter 9: Inequalities - EXERCISE 9 [Page 102]

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B Nirmala Shastry Mathematics [English] Class 9 ICSE
Chapter 9 Inequalities
EXERCISE 9 | Q 1. | Page 102
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