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Dallasb22

  • 2 years ago

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

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  1. Dallasb22
    • 2 years ago
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    BY = 3, YC = 2

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  2. Dallasb22
    • 2 years ago
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    @tcarroll010 Some help please?

  3. Freyes
    • 2 years ago
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    thats a ratio of 3:5?

  4. Dallasb22
    • 2 years ago
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    Lol, is it?

  5. Freyes
    • 2 years ago
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    |dw:1348331164200:dw|

  6. Dallasb22
    • 2 years ago
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    Isn't that 5:2?

  7. Freyes
    • 2 years ago
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    then the area of the top one is 9 and the bigger triangle is 25

  8. Freyes
    • 2 years ago
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    \[\frac{ 3^{2} }{ 5^{2}}\]

  9. Freyes
    • 2 years ago
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    9/25

  10. Freyes
    • 2 years ago
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    |dw:1348331474528:dw|

  11. Dallasb22
    • 2 years ago
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    I'm sorry i don't understand how you are getting this Mind running me through the first steps?

  12. Freyes
    • 2 years ago
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    |dw:1348331540707:dw|

  13. Freyes
    • 2 years ago
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    |dw:1348331623710:dw|

  14. Freyes
    • 2 years ago
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    then the pictures above show them on top of each other

  15. Dallasb22
    • 2 years ago
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    How did you get 10?

  16. Freyes
    • 2 years ago
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    The ratio of the sides is equal if there are parallel lines

  17. Freyes
    • 2 years ago
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    because they are similar

  18. Freyes
    • 2 years ago
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    because you are just extending the sides of the smaller one yes?

  19. Dallasb22
    • 2 years ago
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    Oh yes

  20. Freyes
    • 2 years ago
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    So the scale used to increase the smaller one is 3:5

  21. Freyes
    • 2 years ago
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    so i made one of the sides = 6 and that is an easy ratio to do

  22. Freyes
    • 2 years ago
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    i just multipled the ratio by 2

  23. Freyes
    • 2 years ago
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    so 6:10

  24. Dallasb22
    • 2 years ago
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    Ohhhh. Okay

  25. Freyes
    • 2 years ago
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    and since area is basically multiplying the ratio of the sides

  26. Freyes
    • 2 years ago
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    3/5 * 3/5

  27. Freyes
    • 2 years ago
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    \[\frac{ 3^2 }{ 5^2 }\]

  28. Freyes
    • 2 years ago
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    9/25 is the answer

  29. Dallasb22
    • 2 years ago
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    9/25? not 9:25?

  30. Freyes
    • 2 years ago
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    same thing

  31. Dallasb22
    • 2 years ago
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    Ok cool

  32. Dallasb22
    • 2 years ago
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    What if BY = 2, BC = 4?

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