# Loci circle question

Im not sure how to answer this.

PS AND PT are two tangents draw from a point P to a circle whose centre is O. Join PO and prove that PT = PS.

I drew the diagram out and so I would end up with two right angled triangles meaning I'd have 90 degrees and r = SO = TO, but from there I am not quite sure how to prove it.

Thank you!

• Yes, a better way would be: $PT^2=PO^2-OT^2=PO^2-OS^2=PS^2$. Therefore, $PT=PS$ – Tojrah Apr 4 at 1:47