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Mathematics
Mathematics
Problem
In
△
X
Y
Z
\triangle XYZ
△
X
Y
Z
and
△
L
M
N
\triangle LMN
△
L
M
N
, the proportionality
X
Y
L
M
=
X
Z
L
N
=
2
3
\dfrac{XY}{LM} = \dfrac{XZ}{LN} = \dfrac{2}{3}
L
M
X
Y
=
L
N
X
Z
=
3
2
holds, but
∠
X
≠
∠
L
\angle X \ne \angle L
∠
X
=
∠
L
. Explain why the two triangles are not similar.
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