Área de PRQ según la fórmula de Heron =√(63*24*21*18)=756 ---> T es la proyección ortogonal de Q sobre PR ; prolongada QT corta la circunferencia en U ---> QT=756*2/42=36---> TR =√(39²-36²)=15---> Potencia de T respecto a la circunferencia =15(42-15)=36*TU---> TU=45/4---> SU=PR-2TR =42-15--15=12---> SU²+UQ²=(2r)²=QS²---> 12²+[36+(45/4)]²=QS²---> QS=195/4 mm. Gracias y saludos.
Thank you so much sir, what motivated me to read the complete solution is the fact that you started with herons formula, It's really an excellent approach, I appreciate
I do not think your drawing is to scale because the 45mm segment appears further from the center than the 42mm segment. I have not solved this or watched it yet.
Ohh sir, am sorry please, sometimes for some reasons I just have to draw it without considering the scale, so it looks presentable, Sometimes if I draw the Question to scale, it looks jammed making it awfully and boring
You can get the radius by using this formula: r = (a*b*c)/(4*Area of triangle) and the area is 756 by herons’s formula and you will get the same result. As always thank you for the video 👍
Área de PRQ según la fórmula de Heron =√(63*24*21*18)=756 ---> T es la proyección ortogonal de Q sobre PR ; prolongada QT corta la circunferencia en U ---> QT=756*2/42=36---> TR =√(39²-36²)=15---> Potencia de T respecto a la circunferencia =15(42-15)=36*TU---> TU=45/4---> SU=PR-2TR =42-15--15=12---> SU²+UQ²=(2r)²=QS²---> 12²+[36+(45/4)]²=QS²---> QS=195/4 mm.
Gracias y saludos.
Thank you so much sir, what motivated me to read the complete solution is the fact that you started with herons formula,
It's really an excellent approach, I appreciate
I do not think your drawing is to scale because the 45mm segment appears further from the center than the 42mm segment.
I have not solved this or watched it yet.
Ohh sir, am sorry please, sometimes for some reasons I just have to draw it without considering the scale, so it looks presentable,
Sometimes if I draw the Question to scale, it looks jammed making it awfully and boring
@@MathandEngineering No worries my friend. I do wish we could exchange emails.
(There is certainly much you could teach me 😁).
You can get the radius by using this formula: r = (a*b*c)/(4*Area of triangle) and the area is 756 by herons’s formula and you will get the same result. As always thank you for the video 👍
I forgot to mention that this is driven from the formula here 0:54
Yes friend it is a very good idea to solve using different method, thanks
Tracing the line SR we can see that angles
@@soli9mana-soli4953 wow what an amazing method to solve the Question, thank you so much for sharing