charlotte123
  • charlotte123
If triangle TRM ~ Triangle KBV, and the ratio of RM to BV is 2:5, what do you know about the relationship between MT and VK ? Explain.
Mathematics
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schrodinger
  • schrodinger
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anonymous
  • anonymous
Similar triangles have the same ratio for their corresponding sides. Since triangle TRM is similar to triangle KBV, The ratio between MT and VK is also 2:5
charlotte123
  • charlotte123
thanks so much :D
Fellowroot
  • Fellowroot
I do know that, since Im studying for the GRE that when you see a ratio you can think like this.... 2:5 RM:BV ______ 5RM=2BV

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charlotte123
  • charlotte123
but it says the ratio between RM to BV is 2:5?
Fellowroot
  • Fellowroot
YES, from that you can get 5RM=2BV trust me, im using this on the GRE problems.
Fellowroot
  • Fellowroot
and im a math a physics major
charlotte123
  • charlotte123
im confused nwo :P
Fellowroot
  • Fellowroot
hang on, i'll explain
charlotte123
  • charlotte123
ok :)
Fellowroot
  • Fellowroot
This is a GRE problem right from the book. Say you have a total of 30 coins which are only of pennies and nickles and the pennies and nickles are in a 2:1 ratio. How many pennies would you have?
charlotte123
  • charlotte123
ah see :) so how does this look: Similar triangles have the same ratio for their corresponding sides. Since triangle TRM is similar to triangle KBV, and the ratio of RM to BV is 2:5, then the ratio between MT and VK is also 2:5.
Fellowroot
  • Fellowroot
do like this...
Fellowroot
  • Fellowroot
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charlotte123
  • charlotte123
but what I wrote, is it also correct? :P
Fellowroot
  • Fellowroot
get the ratio and cross multiply to get an equation, use the equation to solve the problem. BUT in your problem we did not know the total length of all the sides in the triangle so it didnt work
Fellowroot
  • Fellowroot
The GRE has another way of doing it.....watch....same problem as before but different approach.
charlotte123
  • charlotte123
I know :) but what I wrote is it coorect as well? :)
Fellowroot
  • Fellowroot
|dw:1342500898820:dw|
charlotte123
  • charlotte123
ill make sure to put that in :) but what i wrote is it correct?
charlotte123
  • charlotte123
george is this correct? Similar triangles have the same ratio for their corresponding sides. Since triangle TRM is similar to triangle KBV, and the ratio of RM to BV is 2:5, then the ratio between MT and VK is also 2:5.
Fellowroot
  • Fellowroot
what did you write that you want me to see if correct
charlotte123
  • charlotte123
Similar triangles have the same ratio for their corresponding sides. Since triangle TRM is similar to triangle KBV, and the ratio of RM to BV is 2:5, then the ratio between MT and VK is also 2:5. :)
Fellowroot
  • Fellowroot
you know, i really dont know, i guess if they are similar then yes, but i really dont have any proof for it and it seems like the question is too easy.
anonymous
  • anonymous
Since the two triangles are similar, we did not require the lengths of all the sides of the triangle to show that the ratios are the same. The fact that they are both similar proves it.
charlotte123
  • charlotte123
R u sure? :)
anonymous
  • anonymous
And @charlotte123 ,your statement is correct
charlotte123
  • charlotte123
so how did u get the 2:5 ratio from? :P sorry im so confused :(
anonymous
  • anonymous
wasn't it from your question? that was the ratio of a pair of corresponding sides from the two triangles
charlotte123
  • charlotte123
exactly but saying that they have the ratio 2:5 is that like saying that RM and BV r similar 2 mt and vk?
anonymous
  • anonymous
both pairs of sides share the same ratio, not the same length
charlotte123
  • charlotte123
so should I write Similar triangles have the same ratio for their corresponding sides. Since triangle TRM is similar to triangle KBV, and the ratio of RM to BV is 2:5, then the ratio between MT and VK is also 2:5. or Similar triangles have the same ratio for their corresponding sides. Since triangle TRM is similar to triangle KBV then the ratio between MT and VK is also 2:5.
anonymous
  • anonymous
the first explanation is better because it explains where the ratio 2:5 was taken from
charlotte123
  • charlotte123
thanks so much :D
anonymous
  • anonymous
you're welcome
charlotte123
  • charlotte123
have a great nite :)

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