SOLUTION: triangle PQR, with P=(3,6), Q=(4,1), R=(14,3), find the measure of the largest angle of the triangle PQR.

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Question 548540: triangle PQR, with P=(3,6), Q=(4,1), R=(14,3), find the measure of the largest angle of the triangle PQR.

Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!
triangle PQR, with P=(3,6), Q=(4,1), R=(14,3), find the measure of the largest angle of the triangle PQR.


The largest angle is at Q.  It looks like a right angle.
If it is, then the slopes of the lines PQ and QR will be
opposite signed reciprocals

Find the slope of PQ

m = 

m = 

m = 

m = -5

Find the slope of QR

m = 

m = 

m = 

m = 

-5 and  are opposite signed reciprocals, that is,

their product is -5· = -1.

So PQ and QR are perpendicular, so angle Q is 90°

Edwin

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