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Mathematics
Mathematics
Problem
△
X
Y
Z
\triangle XYZ
△
X
Y
Z
is right-angled at
Y
Y
Y
and
X
Y
=
Y
Z
XY = YZ
X
Y
=
Y
Z
. The altitude
Y
H
YH
Y
H
is drawn to the hypotenuse
X
Z
XZ
X
Z
. Explain why
△
X
Y
H
\triangle XYH
△
X
Y
H
and
△
Z
Y
H
\triangle ZYH
△
Z
Y
H
are congruent.
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