anonymous
  • anonymous
Find the ratio of the area of triangle XBY to the area of triangle ABC for the given measurements, if LINE XY is PARALLEL TO LINE AC
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
BY = 3, YC = 2
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anonymous
  • anonymous
@tcarroll010 Some help please?
anonymous
  • anonymous
thats a ratio of 3:5?

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anonymous
  • anonymous
Lol, is it?
anonymous
  • anonymous
|dw:1348331164200:dw|
anonymous
  • anonymous
Isn't that 5:2?
anonymous
  • anonymous
then the area of the top one is 9 and the bigger triangle is 25
anonymous
  • anonymous
\[\frac{ 3^{2} }{ 5^{2}}\]
anonymous
  • anonymous
9/25
anonymous
  • anonymous
|dw:1348331474528:dw|
anonymous
  • anonymous
I'm sorry i don't understand how you are getting this Mind running me through the first steps?
anonymous
  • anonymous
|dw:1348331540707:dw|
anonymous
  • anonymous
|dw:1348331623710:dw|
anonymous
  • anonymous
then the pictures above show them on top of each other
anonymous
  • anonymous
How did you get 10?
anonymous
  • anonymous
The ratio of the sides is equal if there are parallel lines
anonymous
  • anonymous
because they are similar
anonymous
  • anonymous
because you are just extending the sides of the smaller one yes?
anonymous
  • anonymous
Oh yes
anonymous
  • anonymous
So the scale used to increase the smaller one is 3:5
anonymous
  • anonymous
so i made one of the sides = 6 and that is an easy ratio to do
anonymous
  • anonymous
i just multipled the ratio by 2
anonymous
  • anonymous
so 6:10
anonymous
  • anonymous
Ohhhh. Okay
anonymous
  • anonymous
and since area is basically multiplying the ratio of the sides
anonymous
  • anonymous
3/5 * 3/5
anonymous
  • anonymous
\[\frac{ 3^2 }{ 5^2 }\]
anonymous
  • anonymous
9/25 is the answer
anonymous
  • anonymous
9/25? not 9:25?
anonymous
  • anonymous
same thing
anonymous
  • anonymous
Ok cool
anonymous
  • anonymous
What if BY = 2, BC = 4?

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