If anyone can solve it I will remark brainleast . I avoid unwanted answers....
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chandan686280:
Triangle
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in ΔALD,
AD² = DL² + AL²
AL² = AD² - DL²
AGAIN IN ΔALB
AB² = AL² + BL²
AB² = AD² - DL² + BL²
AB² = AD² - DL² + (BD + DL)²
AB² = AD² - DL² + BD² + DL² + 2.BD.DL
AB² = AD² + BD² + 2.BD.DL................(I)
IN ΔALC
AC² = AL² + LC²
AC² = AD² - DL² + LC²
AC² = AD² - DL² + (DC - DL)²
AC² = AD² - DL² + DC² + DL² - 2.DC.DL
AC² = AD² + DC² - 2.DC.DL
AC² = AD² + BD² - 2.BD.DL .............................(II)
ADDING EQUATION I AND II
AC² + AB² = AD² +BD² - 2.BD.DL + AD² + BD² + 2.BD.DL
AC² + AB ² = 2(AD² + BD²)
proved
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