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Falling_In_Katt

  • one year ago

WILL MEDAL Given Angle 1 = Angle 2, Find X

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  1. Falling_In_Katt
    • one year ago
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  2. mathstudent55
    • one year ago
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    Do you know the triangle angle bisector theorem?

  3. mathstudent55
    • one year ago
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    The bisector of an angle pf a triangle divides the opposite side into two segments whose lengths are proportional to the lengths of the adjacent sides.

  4. mathstudent55
    • one year ago
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    |dw:1435254823038:dw|

  5. mathstudent55
    • one year ago
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    In the triangle of the above figure, if angles 1 and 2 are congruent, then a/b = c/d

  6. mathstudent55
    • one year ago
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    In your case you have \( \dfrac{3}{x - 4} = \dfrac{x}{4} \)

  7. mathstudent55
    • one year ago
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    Now solve the proportion for x.

  8. Falling_In_Katt
    • one year ago
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    ...

  9. Falling_In_Katt
    • one year ago
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    6 or -2

  10. Falling_In_Katt
    • one year ago
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    @dan815

  11. Falling_In_Katt
    • one year ago
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    @uri

  12. Falling_In_Katt
    • one year ago
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    @math1234

  13. mathstudent55
    • one year ago
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    @Falling_In_Katt You solved the proportion correctly. The solutions to the equation are 6 and -2. In this problem, x represents a length. A length can't be negative, so discard the negative solution, -2, and keep only the positive solution 6.

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