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charlotte123

  • 3 years ago

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.

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  1. georgeblue22
    • 3 years ago
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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

  2. charlotte123
    • 3 years ago
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    thanks so much :D

  3. Fellowroot
    • 3 years ago
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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

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

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

  6. Fellowroot
    • 3 years ago
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    and im a math a physics major

  7. charlotte123
    • 3 years ago
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    im confused nwo :P

  8. Fellowroot
    • 3 years ago
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    hang on, i'll explain

  9. charlotte123
    • 3 years ago
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    ok :)

  10. Fellowroot
    • 3 years ago
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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?

  11. charlotte123
    • 3 years ago
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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.

  12. Fellowroot
    • 3 years ago
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    do like this...

  13. Fellowroot
    • 3 years ago
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    |dw:1342500713064:dw|

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

  15. Fellowroot
    • 3 years ago
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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

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

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

  18. Fellowroot
    • 3 years ago
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    |dw:1342500898820:dw|

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

  20. charlotte123
    • 3 years ago
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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.

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

  22. charlotte123
    • 3 years ago
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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. :)

  23. Fellowroot
    • 3 years ago
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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.

  24. georgeblue22
    • 3 years ago
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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.

  25. charlotte123
    • 3 years ago
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    R u sure? :)

  26. georgeblue22
    • 3 years ago
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    And @charlotte123 ,your statement is correct

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

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

  29. charlotte123
    • 3 years ago
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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?

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

  31. charlotte123
    • 3 years ago
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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.

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

  33. charlotte123
    • 3 years ago
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    thanks so much :D

  34. georgeblue22
    • 3 years ago
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    you're welcome

  35. charlotte123
    • 3 years ago
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    have a great nite :)

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