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In DeltaABC, D is any point on side BC. ...

In `DeltaABC, D` is any point on side BC. Prove that
`AB+BC+CA gt 2AD`

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To prove that \( AB + BC + CA > 2AD \) in triangle \( \Delta ABC \) with point \( D \) on side \( BC \), we can follow these steps: ### Step 1: Identify the triangles Consider triangle \( ABD \) and triangle \( ACD \). ### Step 2: Apply the triangle inequality in triangle \( ABD \) According to the triangle inequality, the sum of any two sides of a triangle is greater than the third side. For triangle \( ABD \): \[ ...
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