Home
Class 9
MATHS
If the bisector of the vertical angle of...

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

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    MTG IIT JEE FOUNDATION|Exercise EXERCISE (Subjective Problems) ( Long Answer Type)|5 Videos

  • TRIANGLES

    MTG IIT JEE FOUNDATION|Exercise EXERCISE (Subjective Problems) ( Integer/Numerical Value Type)|5 Videos

  • TRIANGLES

    MTG IIT JEE FOUNDATION|Exercise EXERCISE (Subjective Problems) (Very Short Answer Type)|9 Videos

  • STATISTICS

    MTG IIT JEE FOUNDATION|Exercise Olympiad/HOTS Corner |20 Videos

Similar Questions

Explore conceptually related problems

Which of the following statements are true (T) and which are false (F): Side opposite to equal angles of a triangle may be unequal. Angle opposite to equal sides of a triangle are equal. The measure of each angle of an equilateral triangle is 60^0 If the altitude from one vertex of a triangle bisects the opposite side, then the triangle may be isosceles. The bisectors of two equal angles of a triangle are equal. If the bisector of the vertical angle of a triangle bisects the base, then the triangle may be isosceles. The two altitudes corresponding to two equal sides of a triangle need not be equal. If any two sides of a right triangle are respectively equal to two sides of other right triangle, then the two triangles are congruent. Two right triangles are congruent if hypotenuse and a side of one triangle are respectively equal to the hypotenuse and a side of the other triangle.

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

If the bisector of the vertical angle of a triangle bisects the base of the triangle. then the triangle is isosceles. GIVEN : A A B C in which A D is the bisector of /_A meeting B C in D such that B D=D Cdot TO PROVE : A B C is an isosceles triangle.

If the bisector of the vertical angle of a triangle bisects the bese of the triangle;then the triangle is iscsceless.

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

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

Prove that the bisector of the vertical angle of an isosceles triangle bisects the base at right angles.

Show that the bisector of vertical angle of an isosceles triangle bisects the base at right angles.

If the bisectors of the base angles of a triangle enclose an angle of 135^(0) ,prove that the triangle is a right triangle.

If the bisectors of the base angles of a triangle enclose an angle of 135^(0) ,prove that the triangle is a right triangle.