SOLUTION: Is it possible for the trisectors of an angle of a triangle to divide a side in a 1:2:4 ratio? Thanks in advance! The topic is Triangle Angle Bisector Theorem.

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Question 1180835: Is it possible for the trisectors of an angle of a triangle to divide a side in a 1:2:4 ratio? Thanks in advance! The topic is Triangle Angle Bisector Theorem.
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

No; it is not possible.
Definition 2.1. (Angle Trisector) has two dividing lines that divide the angle into three equal parts.

Answer by ikleyn(52847) About Me  (Show Source):
You can put this solution on YOUR website!
.
Is it possible for the trisectors of an angle of a triangle to divide a side in a 1:2:4 ratio?
Thanks in advance! The topic is Triangle Angle Bisector Theorem.
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                    No, it is not possible.


This problem was solved by tutor @greenestamps some time ago at this forum.

See his solution at this link

https://www.algebra.com/algebra/homework/Triangles/Triangles.faq.question.1120393.html

https://www.algebra.com/algebra/homework/Triangles/Triangles.faq.question.1120393.html



The answer by  @MathLover1 is  INCORRECT,  in that sense that
her reasoning is   I R R E L E V A N T   to the solution of the problem.


This lady has quite limited knowledge in  Math   (despite her nick-name at this forum),
but it does not stop her to answer questions  INCORRECTLY  and to solve problems  INCORRECTLY
every day several times per day in the areas,  where she is not competent.