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Which of the following statements are true (T) and which are false (F):
If the bisector of the vertical angle of a triangle bisects the base, then the triangle may be isosceles.
Given:
If the bisector of the vertical angle of a triangle bisects the base, then the triangle may be isosceles.
To do:
We have to find whether the given statement is true or false.
Solution:
The angular bisector of the vertex angle is also a median.
This implies,
The triangle is an isosceles triangle and may be an equilateral triangle.
Therefore,
The given statement is false.
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