In the figure , ST is the common tangent at P to the two circles . PVW and PQR are two straight lines . OS bisects \angle PSR and PV=PS , the lines QV and RW are also parallel .
Prove that SR=VW .
Then in 's(tangents from a point to a circle)'s are congruent (SAS)
( is angle bisector, given)
Now - and I'll leave you to fill in the details - prove that 's are similar. Hence , and hence .
But (given). Therefore ... ?
originally posted by thereddevils
Hello reddevil and grandpa'
The diagrames so far do not appear correct. The initial data are not adequate
O is the center of the larger circle.The smaller circle passes thru 0
When SP=PV the diagram is unique (only one)Other diagrams SP is not equal PV but always PV=VW andPQ=QR