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K.Binks

  • one year ago

How do you do this? Triangle ABE is similar to triangle ACD. Find y.

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  1. Michele_Laino
    • one year ago
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    where is your drawing, please?

  2. K.Binks
    • one year ago
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  3. Michele_Laino
    • one year ago
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    since your triangle are similar, we can write this proportion: \[AE:AD = AB:AC\]

  4. Michele_Laino
    • one year ago
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    now, using your drawing, we have: \[\begin{gathered} AE = y \hfill \\ AD = AE + ED = y + 7 \hfill \\ AB = 4 \hfill \\ AC = 6 \hfill \\ \end{gathered} \]

  5. Michele_Laino
    • one year ago
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    so, we can rewrite my proportion above, like below: \[y:\left( {y + 7} \right) = 4:6\] please apply the fundamental property of proportion, and solve for y

  6. Michele_Laino
    • one year ago
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    hint: if we apply the fundamental property of proportions, we get: \[4\left( {y + 7} \right) = 6y\] what is y?

  7. K.Binks
    • one year ago
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    4y + 28= 6y -> 28= 2y y= 14?

  8. Michele_Laino
    • one year ago
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    that's right!

  9. K.Binks
    • one year ago
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    Thank You!

  10. Michele_Laino
    • one year ago
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    :)

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