CBSE Class 10 Answered
triangles
Asked by | 12 Feb, 2009, 10:04: PM
Expert Answer
Draw AE BC
AS ABC is isosceles traingle, BE = EC
In triangle ABD
AB2=AE2+BE2
In triangle ADE
AD2=AE2+ED2
Subtracting the two equations, we get
AB2-AD2=BE2-ED2
= (BE+ED)(BE-ED)
= BD.(BE-ED)
= BD. (CE-ED) (As BE=CE)
= BD. CD
Hence, proved
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