In order to prove, 'The bisector of an angle of a triangle divides the side opposite to the angle in the ratio of the remaining sides.
`(i)` Draw a neat labelled figure.
`(ii)` Write 'Given' and 'To prove'.

Prove the following statement. "The bisector of an angle of a triangle divides the sides opposite to the angle in the ratio of the remaining sides"

Prove:In a triangle the angle bisector divides the side opposite to the angle in the ratio of the remaining sides.

In order to prove, 'In a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of remaining two sides (i) Draw a near labelled figure. (ii) Write 'Given' and 'To Prove' from the figure drawn by you.

The external angle bisector of an angle of a triangle divides the opposite side externally in the ratio of the sides containing the angle.

The internal angle bisector of an angle of a triangle divide the opposite side internally in the ratio of the sides containgthe angle

The external angle bisector of an angle of a triangle divides the opposite side externally in the ratio of the sides containing the angle.

If the bisector of an angle of a triangle bisects the opposite side, prove that the triangle is isosceles.

If the bisector of an angle of a triangle bisects the opposite side,prove that the triangle is isosceles.

In a triangle, the angle opposite to the longer side is :