A triangles question.

Asked by priyadarshini_selvam | 18th Feb, 2010, 11:27: AM

Expert Answer:

 

In ADC,

AC2 = AD2 + DC2          ............Pythagorus's Theorem,

AC2 = AD2 + (BD+BC)2

AC2 = AD2 + BD2 + BC2 + 2BD BC

AC2 = (AD2 + BD2) + BC2 + 2BD BC       ...............(1)

Also in ADB,

AB2 = BD2 + AD2 .............Using this result in (1)

AC2 = AB2 + BC2 + 2BD BC

Regards,

Team,

TopperLearning.

Answered by  | 18th Feb, 2010, 11:40: AM

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