Given triangle PQR, with P=(3,6), Q=(4,1), and R=(14,3), find the measure of the largest angle of triangle PQR and explain reasoning.

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In this triangle there is a special situation: The triangle has an angle of 90 degrees at the point Q.
How do I know?

The line through the points R and Q has slope: (3-1)/(14-4)=2/10=1/5.
The line through the points P and Q has slope: (1-6)/(4-3)=-5....

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