Any Point Equidistant from Sides of an Angle Is on the Bisector of the Angle.
In the follow...
Question
In the following figure, in △PQR, seg RS is the bisector of ∠PRQ,PS=11,SQ=12,PR=22. Find QR
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Solution
Given: RS is the bisector of ∠PRQ PS=11,SQ=12,PR=22 To find: QR=? In PRQ,RS is the bisector of ∠PRQ. By the property of angle bisector of a triangle. PRQR=PSSQ 22QR=1112 QR=22×1211=24