if the diameter is perpendicular to an outside line to the circle
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Step-by-step explanation:
A tangent to a circle is perpendicular to the radius through the point of contact. Given :- A circle C (O, r) and a tangent AB at a point P. Construction :- Take any point Q, other than P, on the tangent AB.
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The triangle AB'B is a right triangle because it's a triangle inscribed in a circle with one of its side as a diameter.
This gives you that, for the triangle APP',
- PB' is the altitude from the vertex P
- P'A' is the altitude from the vertex P'
- So B, the intersection of PB' and P'A', is the orthocentre.
It follow that AB is the altitude from the vertex A, hence AB and PP' are perpendicular
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