The bisector of ∠P in ΔPQR intersects QR in D. If QD : RD=4: 7 and PR=14, then PQ = .....,select a proper option (a), (b), (c) or (d) from given options so that the statement becomes correct.
(a) 8
(b) 4
(c) 12
(d) 16
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Given : The bisector of ∠P in ΔPQR intersects QR in D.
according to angle bisector theorem,
QD/DR = PQ/PR
Given, QD/DR = 4 : 7 and PR = 14
so, 4/7 = PQ/14
4/7 × 14 = PQ
PQ = 8
hence, option (a) is correct.
according to angle bisector theorem,
QD/DR = PQ/PR
Given, QD/DR = 4 : 7 and PR = 14
so, 4/7 = PQ/14
4/7 × 14 = PQ
PQ = 8
hence, option (a) is correct.
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option a is correct answer
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