If the median to the base of a triangle ...

If the median to the base of a triangle is perpendicular to the base, then triangle is isosceles.

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Median to the base of an isosceles triangle is perpendicular to base.

If the median of a triangle through A is perpendicular to AB, then

Knowledge Check

If the median drawn on the base of a triangle is half its base, the triangle will be:

A

right-angled

B

acute-angled

C

obtuse-angled

D

equilateral

If the median drawn on the base of a triangle is half its base, the triangle will be:

A

right-angled

B

acute-angled

C

obtuse-angled

D

equilateral

If the straight line which bisects the vertical angle of a triangle is perpendicular to the base, the triangle is:

A

equilateral

B

isosceles

C

scalene

D

right- angled

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If the bisector of the exterior vertical angle of a triangle be parallel to the base.Show that the triangle is isosceles.

Prove that a median of an equilateral triangle is perpendicular to the corresponding side.

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