Falling_In_Katt
  • Falling_In_Katt
WILL MEDAL Given Angle 1 = Angle 2, Find X
Geometry
  • Stacey Warren - Expert brainly.com
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SOLVED
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Falling_In_Katt
  • Falling_In_Katt
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mathstudent55
  • mathstudent55
Do you know the triangle angle bisector theorem?
mathstudent55
  • mathstudent55
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.

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mathstudent55
  • mathstudent55
|dw:1435254823038:dw|
mathstudent55
  • mathstudent55
In the triangle of the above figure, if angles 1 and 2 are congruent, then a/b = c/d
mathstudent55
  • mathstudent55
In your case you have \( \dfrac{3}{x - 4} = \dfrac{x}{4} \)
mathstudent55
  • mathstudent55
Now solve the proportion for x.
Falling_In_Katt
  • Falling_In_Katt
...
Falling_In_Katt
  • Falling_In_Katt
6 or -2
Falling_In_Katt
  • Falling_In_Katt
@dan815
Falling_In_Katt
  • Falling_In_Katt
@uri
Falling_In_Katt
  • Falling_In_Katt
@math1234
mathstudent55
  • mathstudent55
@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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