(ii) 10p2q2 – 21pq + 9
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In /triangle ABC∆ABC
The bisector of <A intersects BC in D
And
.AB=18cm
.AC=15cm
.BC=22cm
BD ?
solve
In ∆ABC,AD is the bisector of <A
/frac{AB}{AC}=\frac{BD}{DC}
AC
AB
=
DC
BD
(The external bisector of angle of a triangle divide the opposite side externally in the ratio of the sides containing the angle)
/frac{AB}{AC}=/frac{BD}{(BC-BD)}
AC
AB
=
(BC-BD)
BD
=>/frac{6}{5}=/frac(BD){(22-BD)}
5
6
=(22-BD)
BD
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