Question

In the adjacent figure, AD is perpendicular on the side BC of Triangle ABC. Prove that
AB + BC + AC> 2 AD​

Answer 1

Answer:

We know that:-

In a triangle sum of two sides is always greater

than the third side.

In truangleABD

AB+BD > AD…………….(1)

In triangle ADC

DC+CA > AD…………….(2)

On adding (1) & (2)

AB+BD+DC+CA > 2AD

On putting BD+DC=BC

AB+BC+CA > 2AD (Proved)

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