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.

Given:

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

To do:

We have to find whether the given statement is true or false.

Solution:

The altitude from the vertex is also the perpendicular bisector of the opposite side.

This implies,

The triangle is isosceles and may be an equilateral triangle.

Therefore,

The given statement is false.    

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e

Updated on: 10-Oct-2022

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