Question

in the given figure prove that AB+CD=AD+BC.



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Answer 1

Answer:

we know...... tangents drawn from the same ext. point are equal.....

AS = AP........(i)

BP = BQ........(ii)

QC = CR.........(iii)

RD = DS...........(iv)

now....

AB + CD

= (AP + BP) + (CR + DR)

= AS + BQ + QC + DS [from i, ii, iii, iv]

= (AS + DS) + (BQ + QC)

= AD + BC.........{PROVED}