prove that in a triangle if the square of one side is equal to the sum of the score
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i think ur question is not COMPLETE
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given -in a rt triangle ABC, b angle
to prove-ac^2=ab^2+bc^2
construction-bd perpendicular to act
pf-1n triangle ABC and ADB,
angle b=90
angle a =angle a
:. ABC similar to ADB by aa similarity
then ab/ad=ac/ab
=ab^2=ac×ad __1
again in ADC and BDC,
b angle =d angle
angle c= angle c
ADC similar to BDC
then bd/dc=ac/bc
=bc^2=ac×dc___2
adding 1 and 2,
ab^2+bc^2=ac×ad+ ac×dc
ab^2 +bc^2=ac(ad+dc)
ab^2+bc^2=ac^2
to prove-ac^2=ab^2+bc^2
construction-bd perpendicular to act
pf-1n triangle ABC and ADB,
angle b=90
angle a =angle a
:. ABC similar to ADB by aa similarity
then ab/ad=ac/ab
=ab^2=ac×ad __1
again in ADC and BDC,
b angle =d angle
angle c= angle c
ADC similar to BDC
then bd/dc=ac/bc
=bc^2=ac×dc___2
adding 1 and 2,
ab^2+bc^2=ac×ad+ ac×dc
ab^2 +bc^2=ac(ad+dc)
ab^2+bc^2=ac^2
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