Home
Class 14
MATHS
In a triangle bisector of an angle bisec...

In a triangle bisector of an angle bisects the opposite side. Find the nature of triangle.

A

Right angled

B

Scalene

C

Similar

D

Isosceles

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

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

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 altitude from one vertex of a triangle bisects the opposite side; then the triangle is isosceless.

If the altitude from one vertex of a triangle bisects the opposite side, then the triangle is isosceles. GIVEN : A A B C such that the altitude A D from A on the opposite side B C bisects B C i.e., B D=D Cdot TO PROVE : A B=A C i.e. the triangle A B C is isosceles.

In a triangle ABC, the bisector of angle A meets the opposite side at D.Using vectors prove that BD:DC=c:b.

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

If one angle of a triangle is equal to one angle of another triangle and bisector of these equal angles divide the opposite side in the same ratio; prove that the triangles are similar.

If a line through one vertex of a triangle divides the opposite sides in the Ratio of other two sides; then the line bisects the angle at the vertex.