Question

in triangle ABC if D is any point on BC.prove that AB+BC+AC>2AD

Answer 1

In triangle ABD

AB+ BD > AD…….(1)

In triangle ACD

AC + CD > AD…….(2)

By adding the equation 1 & 2 we get

AB + AC +( BD+CD) > 2AD

where BD +CD = BC ( acc. to figure)

Hence …. AB + BC + CA > 2 AD

PROVED………..

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