In an acute angled triangle ABC, S is any point on BC. Prove AB+BC+CA >2AS​

Question

In an acute angled triangle ABC, S is any point on BC. Prove

AB+BC+CA >2AS​

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Ben Gia 5 months 2021-09-03T17:56:38+00:00 1 Answers 6 views 0

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  1. sori
    0
    2021-09-03T17:57:49+00:00
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    Answer:

    step below

    Step-by-step explanation:

    sum of any 2 sides of triangle > third side

    AB + BS > AS     (1)

    CA + CS > AS     (2)

    AB + (BS + CS) + CA > 2 AS      (1)+(2)

    AB+BC+CA > 2AS

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