If the lengths of two sides of a triangle are 5 and 9, respectively, which of the following could be the length of the third side of the triangle?
a. 3
b. 5
c. 8
d. 15
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OpenStudy (hybrik):
You can use the Pythagoras theorem, and else, where is the picture?
OpenStudy (anonymous):
no picture...
OpenStudy (hybrik):
Okay, then do 5^2 + 9^2 = c^2
OpenStudy (hybrik):
(AKA Pythagoras Theorem)
OpenStudy (anonymous):
doesn't work..
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Nnesha (nnesha):
sum of two sides must greater than the 3rd one
a+b >c
b+c >a
a+c> b
OpenStudy (carolinar7):
c^2=25+81 right?
OpenStudy (anonymous):
a+b<c<a-b
OpenStudy (campbell_st):
well there is a basic for triangles the sum of the shorter sides must be greater than the longest side...
so if 9 is the longest and x is a short side you can say
5 + x > 9
if x is the longest side then
5 + 9 > x
hope it helps
Nnesha (nnesha):
a = 1st side
b= 3rd side
c = 3rd sides
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OpenStudy (hybrik):
You can do the 3rd side has to be bigger then the other sides
OpenStudy (anonymous):
got it thanks @Nnesha
Nnesha (nnesha):
yw
OpenStudy (anonymous):
So wait I thought I had it but I don't
OpenStudy (anonymous):
it can be all 4 options?
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OpenStudy (anonymous):
no
OpenStudy (anonymous):
only B and C
OpenStudy (anonymous):
Why?
Nnesha (nnesha):
first option
a = 3 b = 5 c = 9
so a +b > c
3+ 5 > 9 is it correct?
OpenStudy (anonymous):
it is the reason that @campbell_st mentioned above
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Nnesha (nnesha):
8 is greater than 9 ?
OpenStudy (anonymous):
no
OpenStudy (anonymous):
hey 15 works too right?
OpenStudy (anonymous):
but if you take 15,
5+9 < 15
so it doesnt work
OpenStudy (anonymous):
always any of the two sides should be equal or greater than the other
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