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Which of the Following Statements Are True (T) and Which Are False (F) : If the Altitude from One Vertex of a Triangle Bisects the Opposite Side, Then The Triangle May Be Isosceles.

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Question

Which of the following statements are true (T) and which are false (F) : 

If the altitude from one vertex of a triangle bisects the opposite side, then the triangle may be isosceles.  

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Solution

False (F)
Reason: Here the altitude from thee vertex is also the perpendicular bisector of the opposite side.
⇒  The triangle must be isosceles and may be an equilateral triangle.

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

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R.D. Sharma Mathematics [English] Class 9
Chapter 12 Congruent Triangles
Exercise 12.5 | Q 5.4 | Page 62

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