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Mathematics
Mathematics
Problem
Let
m
m
m
be an integer greater than
1
1
1
. In triangle
A
B
C
ABC
A
B
C
, the sides are
A
B
=
2
m
AB = 2m
A
B
=
2
m
cm,
B
C
=
m
2
−
1
BC = m^2 - 1
B
C
=
m
2
−
1
cm and
A
C
=
m
2
+
1
AC = m^2 + 1
A
C
=
m
2
+
1
cm. Show that triangle
A
B
C
ABC
A
B
C
is right-angled.
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