In △ABC, AD is a median and AL ⊥ BC.Prove thati AC2=AD2+BC.DL+BC22ii AB2=AD2-BC.DL+BC22iii AB2+AC2=2AD2-14BC2

In △ABC, AD is a median and AL ⊥ BC.Prove thati AC2=AD2+BC.DL+BC22

1.	In △ABC, AD is a median and AL ⊥ BC.Prove thati AC2=AD2+BC.DL+BC22ii AB2=AD2-BC.DL+BC22iii AB2+AC2=2AD2-14BC2
Answer» In △ABC, AD is a median and AL ⊥ BC. Prove that $(i) {AC}^{2} = {AD}^{2} + BC . DL + {(\frac{BC}{2})}^{2} (ii) {AB}^{2} = {AD}^{2} - BC . DL + {(\frac{BC}{2})}^{2} (iii) {AB}^{2} + {AC}^{2} = 2 {AD}^{2} - \frac{1}{4} {BC}^{2}$

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In △ABC, AD is a median and AL ⊥ BC.Prove thati AC2=AD2+BC.DL+BC22ii AB2=AD2-BC.DL+BC22iii AB2+AC2=2AD2-14BC2

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