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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.

  • one year ago
  • one year ago

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  1. georgeblue22
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    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

    • one year ago
  2. charlotte123
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    thanks so much :D

    • one year ago
  3. Fellowroot
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    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

    • one year ago
  4. charlotte123
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    but it says the ratio between RM to BV is 2:5?

    • one year ago
  5. Fellowroot
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    YES, from that you can get 5RM=2BV trust me, im using this on the GRE problems.

    • one year ago
  6. Fellowroot
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    and im a math a physics major

    • one year ago
  7. charlotte123
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    im confused nwo :P

    • one year ago
  8. Fellowroot
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    hang on, i'll explain

    • one year ago
  9. charlotte123
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    ok :)

    • one year ago
  10. Fellowroot
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    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?

    • one year ago
  11. charlotte123
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    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.

    • one year ago
  12. Fellowroot
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    do like this...

    • one year ago
  13. Fellowroot
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    |dw:1342500713064:dw|

    • one year ago
  14. charlotte123
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    but what I wrote, is it also correct? :P

    • one year ago
  15. Fellowroot
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    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

    • one year ago
  16. Fellowroot
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    The GRE has another way of doing it.....watch....same problem as before but different approach.

    • one year ago
  17. charlotte123
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    I know :) but what I wrote is it coorect as well? :)

    • one year ago
  18. Fellowroot
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    |dw:1342500898820:dw|

    • one year ago
  19. charlotte123
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    ill make sure to put that in :) but what i wrote is it correct?

    • one year ago
  20. charlotte123
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    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.

    • one year ago
  21. Fellowroot
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    what did you write that you want me to see if correct

    • one year ago
  22. charlotte123
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    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. :)

    • one year ago
  23. Fellowroot
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    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.

    • one year ago
  24. georgeblue22
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    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.

    • one year ago
  25. charlotte123
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    R u sure? :)

    • one year ago
  26. georgeblue22
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    And @charlotte123 ,your statement is correct

    • one year ago
  27. charlotte123
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    so how did u get the 2:5 ratio from? :P sorry im so confused :(

    • one year ago
  28. georgeblue22
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    wasn't it from your question? that was the ratio of a pair of corresponding sides from the two triangles

    • one year ago
  29. charlotte123
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    exactly but saying that they have the ratio 2:5 is that like saying that RM and BV r similar 2 mt and vk?

    • one year ago
  30. georgeblue22
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    both pairs of sides share the same ratio, not the same length

    • one year ago
  31. charlotte123
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    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.

    • one year ago
  32. georgeblue22
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    the first explanation is better because it explains where the ratio 2:5 was taken from

    • one year ago
  33. charlotte123
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    thanks so much :D

    • one year ago
  34. georgeblue22
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    you're welcome

    • one year ago
  35. charlotte123
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    have a great nite :)

    • one year ago
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