Compassionate
  • Compassionate
The area of triangle B is 25 times greater than the area of triangle A.The perimeter of triangle B is how many times greater than the perimeter of triangle A?
Mathematics
schrodinger
  • schrodinger
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Compassionate
  • Compassionate
KendrickLamar2014
  • KendrickLamar2014
The scale factor in area is squared. Since the scale factor of the areas are 1:25, you take the square root of both, and your result is the new scale factor.
KendrickLamar2014
  • KendrickLamar2014
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Compassionate
  • Compassionate
This isn't a test, so no.
KendrickLamar2014
  • KendrickLamar2014
Ok, well when you take the Square root of 1 and 25 you get the scale factor 1:5, so the answer would be 5 times greater.
Compassionate
  • Compassionate
I get that, but could you visually expain it
KendrickLamar2014
  • KendrickLamar2014
What do you mean visually?
Compassionate
  • Compassionate
So, like, could you draw a graph or explain it that way? My mind is melted from studying
KendrickLamar2014
  • KendrickLamar2014
lol ok give me a sec.
KendrickLamar2014
  • KendrickLamar2014
|dw:1432789457119:dw|
KendrickLamar2014
  • KendrickLamar2014
|dw:1432789574114:dw|
rational
  • rational
|dw:1432789693624:dw|
Compassionate
  • Compassionate
Thank you
Compassionate
  • Compassionate
Also, great drawing, @rational
rational
  • rational
np Heron's formula : \(A = \sqrt{s(s-a)(s-b)(s-c)}\) if you scale each side by a factor of \(k\), the new area would be : \(A' = \sqrt{ks(ks-ka)(ks-kb)(ks-kc)} = \sqrt{k^4s(s-a)(s-b)(s-c)}=k^2A\)
Compassionate
  • Compassionate
yes

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