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In triangle $PQR,$ let $X$ be the intersection of the angle bisector of $\angle P$ with side $\overline{QR}$, and let $Y$ be the foot of the perpendicular from $X$ to side $\overline{PR}$.  If $PQ = 8,$ $QR = 5,$ and $PR = 1,$ then compute the length of $\overline{XY}$.

 Feb 10, 2024

Best Answer 

 #1
avatar+266 
+1

In triangle PQR, let X be the intersection of the angle bisector of \(\angle P\) with side \(\overline{QR}\), and let Y be the foot of the perpendicular from X to side \(\overline{PR}\).  If PQ = 8, QR = 5, and PR = 1, then compute the length of \(\overline{XY}\).

 

Ookie Dookie

No answer. Simply logic

 

Let me repeat the question, and you try to figure out whats wrong.

PQ = 8, QR = 5, PR = 1.

 

2 sides of a triangle has to add up to more than the third side, but 

\(5+1<8\)

so this triangle is not even possible in the first place.

 Feb 10, 2024
 #1
avatar+266 
+1
Best Answer

In triangle PQR, let X be the intersection of the angle bisector of \(\angle P\) with side \(\overline{QR}\), and let Y be the foot of the perpendicular from X to side \(\overline{PR}\).  If PQ = 8, QR = 5, and PR = 1, then compute the length of \(\overline{XY}\).

 

Ookie Dookie

No answer. Simply logic

 

Let me repeat the question, and you try to figure out whats wrong.

PQ = 8, QR = 5, PR = 1.

 

2 sides of a triangle has to add up to more than the third side, but 

\(5+1<8\)

so this triangle is not even possible in the first place.

Imcool Feb 10, 2024
 #2
avatar+128475 
0

THX, Imcool.....very observant !!!!

 

Best to check the logic of some of these questions  before attempting an answer 

 

 

cool cool cool

 Feb 10, 2024

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