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Mathematics
Problem
A triangle is a right triangle if the sum of the squares of its two smallest sides equals the square of its largest side. If
n
n
n
is a positive integer, must the triangle with sides
6
(
10
n
+
2
)
6(10^{n+2})
6
(
1
0
n
+
2
)
,
1125
(
10
2
n
+
1
)
−
8
1125(10^{2n+1}) - 8
1125
(
1
0
2
n
+
1
)
−
8
, and
1125
(
10
2
n
+
1
)
+
8
1125(10^{2n+1}) + 8
1125
(
1
0
2
n
+
1
)
+
8
be a right triangle?
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