If it is true that...

The senate is composed of two senators from each state, chosen by the legislature thereof, for six years

and

No person can be a senator without attaining the age of thirty years and being a citizen of the United States for nine years

Then it must be true that...

The vice president is the president of the Senate but has no vote unless they are equally divided

If it is true that...

The House of Representatives chooses their Speaker and other officers and has the sole power of impeachment

and

The vice president is the president of the Senate but has no vote unless they are equally divided

Then it must be true that...

The senate has the sole power to try all impeachments