`L and M are points on the sides AB and AC respectively, of triangle ABCsuch that AL=2/5AB and AM=3/4AC . If BM and CL intersect at P, and AP andBC intersect at N, then find the value of 8(BN/CN) `
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Answer:
Given : AB=13.3 cm,AC=11.9 cm and EC=5.1 cm
Find AD.
By BPT:
DB
AD
=
EC
AE
Add 1 on both sides
DB
AD
+1=
EC
AE
+1
DB
(AD+DB)
=
EC
(AE+EC)
DB
AB
=
EC
AC
or DB=
AC
(AB×EC)
=
11.90
(13.3×5.1)
DB=5.7 cm
⇒BD=5.7 cm
And, AD=AB−DBAD=13.3−5.7
AD=7.6 cm
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