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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. - Mathematics

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Question

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. 

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Solution

False (F)
Reason: The angular bisector of the vertex angle is also a median
⇒  The triangle must be an isosceles and also may be an equilateral triangle.

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Chapter 12: Congruent Triangles - Exercise 12.5 [Page 62]

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RD Sharma Mathematics [English] Class 9
Chapter 12 Congruent Triangles
Exercise 12.5 | Q 5.6 | Page 62

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