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Mathematics
Mathematics
Problem
In
△
X
Y
Z
\triangle XYZ
△
X
Y
Z
, points
M
M
M
and
N
N
N
are the midpoints of sides
X
Y
XY
X
Y
and
X
Z
XZ
X
Z
respectively. a. (i) Find the length
M
N
MN
M
N
if
Y
Z
=
20
cm
YZ = 20\,\text{cm}
Y
Z
=
20
cm
. b. (ii) Determine the ratio of the area of
△
X
M
N
\triangle XMN
△
X
M
N
to the area of
△
X
Y
Z
\triangle XYZ
△
X
Y
Z
.
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