Sir, I think there is a small mistake in the article, you proved the triangles PQA & PQB are congruent using the SAS congruency test but stated it as hypotenuse-side congruency, the rest of the article is fine.
Late to the party, but Sir, Is the point which is equidistant from all three sides both the incentre and circumcentre. I knew incentre( point lying on angle bisectors is equidistant from all 3 sides), but does this holds true for Circumcentre as well?
CAT-holics 
thanks
d best article
u rock…:)
Sir, I think there is a small mistake in the article, you proved the triangles PQA & PQB are congruent using the SAS congruency test but stated it as hypotenuse-side congruency, the rest of the article is fine.
Right you are! Thanks.
regards
J
Late to the party, but Sir, Is the point which is equidistant from all three sides both the incentre and circumcentre. I knew incentre( point lying on angle bisectors is equidistant from all 3 sides), but does this holds true for Circumcentre as well?
No, the circumcentre is equidistant from all three *vertices* as mentioned above, while the incentre is equidistant from all three *sides*.
regards
J
Thank you for whatever you have done for us till now! Your posts and insights on PG and off here are GOLDD! Indebted.