Question

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

AB+BC+CA >2AS​

Answer 1

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