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"

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 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 angles of a triangle are in the ratio 2:3:7, then the sides opposite to the angles are in the ratio

If the bisector of the vertical angle of a triangle bisects the base, prove that the triangle is isosceles.

The side opposite to an obtuse angle of a triangle is :

In order to prove, ''In a right angled triangle, the perpendicular segment to the hypotenuse from the opposite vertex, is the geometric mean of the segments into which the hypotenuse is divided." (i) Draw a neat labelled figure. (ii) Write 'Given' and 'To prove' from the figure drawn by you.