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Mathematics
Mathematics
Problem
Three pieces of an iron rod measure
9
cm
,
40
cm
9\,\text{cm},\;40\,\text{cm}
9
cm
,
40
cm
and
41
cm
41\,\text{cm}
41
cm
. Do these lengths form a right triangle? a) Yes, right angle opposite the
41
cm
41\,\text{cm}
41
cm
piece b) Yes, right angle opposite the
40
cm
40\,\text{cm}
40
cm
piece c) No, because
9
2
+
40
2
<
41
2
9^{2}+40^{2}<41^{2}
9
2
+
4
0
2
<
4
1
2
d) No, because
9
+
40
<
41
9+40<41
9
+
40
<
41
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