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Mathematics
Mathematics
Problem
For a right triangle
△
P
Q
R
\triangle PQR
△
P
QR
with right angle at
Q
Q
Q
, let
Q
S
QS
QS
be the altitude to hypotenuse
P
R
PR
P
R
. If
Q
S
=
h
QS = h
QS
=
h
,
P
S
=
m
PS = m
P
S
=
m
and
S
R
=
n
SR = n
S
R
=
n
, which of the following statements is always true? a)
h
=
m
+
n
h = m + n
h
=
m
+
n
b)
h
2
=
m
2
+
n
2
h^{2} = m^{2} + n^{2}
h
2
=
m
2
+
n
2
c)
h
2
=
m
n
h^{2} = mn
h
2
=
mn
d)
h
=
m
n
h = mn
h
=
mn
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