## 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.

1. georgeblue22

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

thanks so much :D

3. 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

4. charlotte123

but it says the ratio between RM to BV is 2:5?

5. Fellowroot

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

6. Fellowroot

and im a math a physics major

7. charlotte123

im confused nwo :P

8. Fellowroot

hang on, i'll explain

9. charlotte123

ok :)

10. 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?

11. 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.

12. Fellowroot

do like this...

13. Fellowroot

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14. charlotte123

but what I wrote, is it also correct? :P

15. 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

16. Fellowroot

The GRE has another way of doing it.....watch....same problem as before but different approach.

17. charlotte123

I know :) but what I wrote is it coorect as well? :)

18. Fellowroot

|dw:1342500898820:dw|

19. charlotte123

ill make sure to put that in :) but what i wrote is it correct?

20. 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.

21. Fellowroot

what did you write that you want me to see if correct

22. 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. :)

23. 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.

24. georgeblue22

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

R u sure? :)

26. georgeblue22

And @charlotte123 ,your statement is correct

27. charlotte123

so how did u get the 2:5 ratio from? :P sorry im so confused :(

28. georgeblue22

wasn't it from your question? that was the ratio of a pair of corresponding sides from the two triangles

29. 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?

30. georgeblue22

both pairs of sides share the same ratio, not the same length

31. 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.

32. georgeblue22

the first explanation is better because it explains where the ratio 2:5 was taken from

33. charlotte123

thanks so much :D

34. georgeblue22

you're welcome

35. charlotte123

have a great nite :)