Question

in a triangleABC, ad is the altitude of the triangle find AB+BC+CA>2AD​

Answer 1

Answer:

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AB=90°BC=90°CA=90°=270°

Answer 2

given: ABC is a triangle.

AD is an altitude.

RTP:AB+BC+AC>2AD

PROOF: in triABD,

AB+BD>AD(sum of any two sides of a tri. are greater than the third side)......i

In triACD,

DC+Ac>AD......... ii

Adding i and ii ,we get

AB+(BD+DC)+AC>AD+AD

AB+BC+CA>2AD

HENCE,PROVED