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Mathematics — Applications And Interp.
Mathematics — Applications and Interp.
Problem
In
△
A
B
C
\triangle ABC
△
A
B
C
,
A
D
AD
A
D
is the median to side
B
C
BC
B
C
. The median
A
D
AD
A
D
makes an angle
θ
\theta
θ
with side
A
B
AB
A
B
and an angle
ϕ
\phi
ϕ
with side
A
C
AC
A
C
. Let
c
c
c
denote the length of side
A
B
AB
A
B
and
b
b
b
the length of side
A
C
AC
A
C
. Prove that
sin
θ
sin
ϕ
=
c
b
.
\frac{\sin \theta}{\sin \phi} = \frac{c}{b}.
sin
ϕ
sin
θ
=
b
c
.
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