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

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

BE and CF are two equal altitudes of a triangle ABC. Using RHS congruence rule, prove that the triangle ABC is isosceles.

If the bisector of angle A of the triangle ABC makes an angle theta with BC , then sintheta=

The base of an isosceles triangle measures 4 units base angle is equal to 45^(@) . A straight line cuts the extension of the base at a point M at the angle theta and bisects the lateral side of the triangle which is nearest to M. The area of quadrilateral which the straight line cuts off from the given triangle is

The base of an isosceles triangle measures 4 units base angle is equal to 45^(@) . A straight line cuts the extension of the base at a point M at the angle theta and bisects the lateral side of the triangle which is nearest to M. The length of portion of straight line inside the triangle may lie in the range

The base of an isosceles triangle measures 4 units base angle is equal to 45^(@) . A straight line cuts the extension of the base at a point M at the angle theta and bisects the lateral side of the triangle which is nearest to M. The length of portion of straight line inside the triangle may lie in the range

If the cotangents of half the angles of a triangle are in A.P., then prove that the sides are in A.P.

Let alt=blt=c be the lengths of the sides of a triangle. If a^2+b^2 < c^2, then prove that triangle is obtuse angled .

If the sides of a right angled triangle are in A.P then the sines of the acute angles are