Imagine the following scenario: During President Trump's impeachment trial*, video evidence surfaces showing the president committing a clear act of treason, as defined by US law (perhaps discussing a plan of action with Russian president Vladimir Putin to abolish Congress)-- an explicitly impeachable offense, but one that is in no way related to the articles currently being brought against him. Could the Senate vote to remove him from office based solely on this new evidence, or would the House have to draft a new article of impeachment?
*: I'm not suggesting this is in any way likely to happen, just using the current situation because it's convenient.