Democrats in the U.S. Congress took a major step toward impeaching President Donald Trump this past week when they agreed on the rules for publicly televised hearings after weeks of testimony behind closed doors. But it is also a step onto more politically perilous terrain for a party seeking to persuade Americans that their cause to remove the Republican president, who they accuse of abusing his power, is just.

Leaders of the Democratic-run House of Representatives believe that putting the main witnesses on TV will convince independent voters and other doubters that Trump was wrong in asking the Ukrainian government to dig up dirt on a political rival, Democrat Joe Biden, who hopes to be the candidate to oust Trump in the 2020 election.

While Republicans and the president face great political risk in the hearings, so do Democrats. They must present themselves as sober and trustworthy investigators, former congressional aides and analysts said.