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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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