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In the Following Figure, Abc is an Equilateral Triangle and P is Any Point in Ac; Prove That: Bp > Pc - Mathematics

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Question

In the following figure, ABC is an equilateral triangle and P is any point in AC;
prove that: BP > PC

Sum

Solution

In ΔBPC,
∠C = 60°
∠CBP < 60°   
∴∠C > ∠CBP
⇒ BP > PC                  ....[ Side opposite to greater side is greater ]

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Inequalities in a Triangle - Of All the Lines, that Can Be Drawn to a Given Straight Line from a Given Point Outside It, the Perpendicular is the Shortest.
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Chapter 11: Inequalities - Exercise 11 [Page 143]

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Selina Concise Mathematics [English] Class 9 ICSE
Chapter 11 Inequalities
Exercise 11 | Q 11.2 | Page 143
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