please solve this question
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Step-by-step explanation:
In ∆dxy and∆dab
Angle xdy= angle adb (common)
Angle xyd= angle abd=90°
∆dxy ~ ∆dab (by AA)
Therefore, c/a=dy/db (i)
Similarly, ∆bxy~∆bcd (by AA)
Therefore, c/b = by/bd (ii)
On adding (i) and (ii)
c/a +c/b= by/bd+dy/bd
c(1/a+1/b)= by+dy/bd
c(a+b/ab)=bd/bd
c(a+b/ab)= 1
c(a+b)= ab
Hence proved
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