In Delta PQR,the bisector of angle P intersec | vedclass

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(C) According to the Angle Bisector Theorem,if a ray bisects an angle of a triangle,then it divides the opposite side into segments that are proportio

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$12$

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(C) According to the Angle Bisector Theorem,if a ray bisects an angle of a triangle,then it divides the opposite side into segments that are proportional to the other two sides of the triangle.In $\Delta PQR$,since $PS$ is the bisector of $\angle P$,we have the ratio:$\frac{PQ}{PR} = \frac{QS}{SR}$Given values are $PQ = 15$,$QS = 10$,and $SR = 8$.Substituting these values into the formula:$\frac{15}{PR} = \frac{10}{8}$$10 	imes PR = 15 	imes 8$$10 	imes PR = 120$$PR = \frac{120}{10} = 12$Therefore,$PR = 12$.

In $\Delta PQR$,the bisector of $\angle P$ intersects $\overline{QR}$ at $S$. If $PQ = 15$,$QS = 10$,and $SR = 8$,then $PR = $.........

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