Question

If S is any point on side BC of triangle ABC .Prove that AB+BC+CA>2AS

Answer 1

join AS such that S is perpendicular on BC in triangle ABS a b + b s is greater than AS (sum of two side of triangle is greater than third side ) ....1. in triangle ASC AC +cs greater than AS... 2 add 1 and 2 so that AB+BC+Ac greater than 2AS