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

asked Apr 17, 2022 57.0k views

17 votes

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

AB+BC+CA >2AS

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3 votes

Answer:

step below

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

Diego Allen answered Apr 24, 2022

4.2k points

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