Geometry (1 Viewer)

[kasser]

How to solve AB is a diameter and AC is a tangent. Prove that
c) AB^2 + AC^2 = BC^2

I also proved before that AB^2 = BC.BD
and AC^2 = BC.DC?

Thanks

 

[Shadowdude]

How to solve AB is a diameter and AC is a tangent. Prove that
c) AB^2 + AC^2 = BC^2

I also proved before that AB^2 = BC.BD
and AC^2 = BC.DC?

Thanks

well...

 

[TL1998]

well...

A simpler method is by oserving that triangle CAB is right angled at A (since the tangent to a radius is perpendicular). Then by pytahogras' theorem, AB^2 + AC^2 = BC^2