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.

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)   (Show Source): You can put this solution on YOUR website!

; it is not possible.
Definition 2.1. (Angle Trisector) has two dividing lines that divide the angle into parts.
Answer by ikleyn(52864)   (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.
~~~~~~~~~~~~~~~~~

                    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.

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