• Brainly User

This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.

Please keep drawing the figure as you follow below.
Let ABC be the triangle with sides BC, AC, AB opposite angles A, B, C being in length equal to a, b, c respectively.

Draw perpendiculars AD, BE and CF from A, B, C to opposite sides meeting sides BC, AC and AB at D, E, F respectively.

Now perpendicular AD² = AC² - CD² ==> AD² < AC² or  AD < AC
                                                                           or AD < b -----(1)
                  Also,  BE² = AB² - AE² ==> BE² < AB² or BE < AB
                                                                           or BE < c ------(2)
            Likewise , CF² = BC² - BF² ==> CF² < BC² or CF < BC 
                                                                           or CF < a ----(3)
Adding inequalities (1), (2), (3), AD + BE + CF < a + b + c
11 3 11