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OpenStudy (osuxbucks15):
A triangle has side lengths of 34 in., 20 in., and 47 in. Classify it as acute, obtuse, or right
right
obtuse
acute
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OpenStudy (lgbasallote):
\[34^2 + 20^2 > 47^2 \rightarrow \text{acute}\]
\[34^2 + 20 ^2 = 47^2 \rightarrow \text{right}\]
\[34^2 + 20^2 < 47^2 \rightarrow \text{obtuse}\]
OpenStudy (lgbasallote):
try...and see which is which
OpenStudy (campbell_st):
use pythagoras' theorem
47^2 = 34^2 + 20^2
if a^2 = b^2 + c^2 ... right triangle
a^2 < b^2 + c^2 ... obtuse
a^2 > b^2 + c^2 .. acute
OpenStudy (osuxbucks15):
ok but how will i no which 1 it is?
OpenStudy (lgbasallote):
what is 34^2 + 20^2
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OpenStudy (lgbasallote):
try it in your calculator
OpenStudy (osuxbucks15):
1156+400
OpenStudy (osuxbucks15):
1156
400
1556
OpenStudy (osuxbucks15):
1556
OpenStudy (lgbasallote):
right...and what's 47^2?
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OpenStudy (osuxbucks15):
2209
OpenStudy (lgbasallote):
so which is bigger 2209 or 1156?
OpenStudy (osuxbucks15):
2209
OpenStudy (osuxbucks15):
is it acute
OpenStudy (lgbasallote):
so 34^2 + 20^2 < 47^2
which one is it?
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OpenStudy (osuxbucks15):
acute
OpenStudy (lgbasallote):
are you sure?
OpenStudy (lgbasallote):
look at my first post again
OpenStudy (osuxbucks15):
?
OpenStudy (lgbasallote):
look at what i wrote for 34^2 + 20^2 < 47^2
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OpenStudy (osuxbucks15):
is it obtuse
OpenStudy (lgbasallote):
yes
OpenStudy (osuxbucks15):
thanks
OpenStudy (lgbasallote):
welcome :D
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