A homeowner wants several small dormers built on his roof to admit light. They will be in the shape of isosceles triangles whose sides will exceed their base by 5 inches. If the perimeter is 100 inches, what are the lengths of the three sides?
The base is___, and the equal sides are____.
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OpenStudy (anonymous):
@mayankdevnani
OpenStudy (mayankdevnani):
oh so simple
OpenStudy (mayankdevnani):
in isosceles triangle two sides are equal
OpenStudy (anonymous):
a+B+C
OpenStudy (anonymous):
i got that i did it and for some reason my answers were wrong
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OpenStudy (mayankdevnani):
so x+x+5=100
2x=95
x=95/2=47.5
OpenStudy (mayankdevnani):
so three sides are 47.5,47.5 and 5 inches
OpenStudy (anonymous):
that's not the answer
OpenStudy (mayankdevnani):
@Claire4christ its right answer
OpenStudy (anonymous):
the answer is not 47
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OpenStudy (anonymous):
two equal sides, and both exceed the base by 5
base is x
side is x + 5
perimeter is x + (x+5) + (x +5) = 100
3x +10 = 100
3x = 90
x = 30
base = 30, sides = 35
OpenStudy (anonymous):
i got the same and 35 wasnt right
OpenStudy (mayankdevnani):
oh!! i got it
OpenStudy (anonymous):
@JakeV8 you are right
OpenStudy (anonymous):
so, base = 30, sides = 35 is right?
When the problem says the sides exceed the base by 5, that is a little vague and open to different interpretations.
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