Mathematics
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OpenStudy (anonymous):
NEED HELP SOS
Find an integer, x, such that 5, 10, and x represent the lengths of the sides of an obtuse triangle.
A.
4
B.
5
C.
6
D.
11
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OpenStudy (welshfella):
In an obtuse triangle c^2 > a^2 + b^2
OpenStudy (welshfella):
so if we take c = 10 what inequality can we write?
OpenStudy (welshfella):
10^2 > 5^2 + b^2
can you solve this for b^2? then for b?
OpenStudy (anonymous):
100 + 25
OpenStudy (welshfella):
not +
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OpenStudy (anonymous):
100 > 25 + 36 for 6
OpenStudy (anonymous):
i thought the asnwer would be 6
OpenStudy (welshfella):
b^2 < 100 - 25
b^2 < 75
OpenStudy (welshfella):
b < sqrt75
b < 8.66
OpenStudy (anonymous):
im really confused
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OpenStudy (welshfella):
b cannot be 4 or 5 because that would not make a triangle and 11 > 8.66 therefore the answer is 6
OpenStudy (anonymous):
8 isnt an option
OpenStudy (anonymous):
oh i get it
OpenStudy (anonymous):
i have one more question
OpenStudy (welshfella):
ok
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OpenStudy (anonymous):
how do i find an acute triangle
OpenStudy (anonymous):
Using Pythagorean inequalities, determine which set of the given three sides produces an acute triangle.
OpenStudy (welshfella):
for an acute angle , if c is the longest side,
c^2 < a^2 + b^2
OpenStudy (anonymous):
3, 4, 5
6,12,20
4,6,10,
5,12,18
ALL NUMBERS TO SQUARE ROOT
OpenStudy (welshfella):
- and dont forget for all triangles the sum of any 2 sides must exceed the length of the other side
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OpenStudy (anonymous):
what
OpenStudy (anonymous):
i dont know how to do it cause the numbers are squared
OpenStudy (welshfella):
what exactly is the second question?
OpenStudy (anonymous):
Using Pythagorean inequalities, determine which set of the given three sides produces an acute triangle.
OpenStudy (anonymous):
6 minutes till time runs out on this question:/
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OpenStudy (welshfella):
well the first one is a right angled triangle because 5^2 = 3^2 + 4^2
OpenStudy (anonymous):
what about C
OpenStudy (anonymous):
rembember all the numbers are squared
OpenStudy (welshfella):
the 2nd is not a triangle? can you see why?
neither is the third why?
OpenStudy (anonymous):
4, 6,10
4x4 = 16
6x6=36
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OpenStudy (welshfella):
and 10^2 = 100
but 4+6 = 10 so its not a triangle..
OpenStudy (anonymous):
oh
OpenStudy (welshfella):
you cant draw a triangle with sides this length
OpenStudy (welshfella):
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