If cosines of two angles of a triangle are inversely proportional to the opposite sides, show that the triangle is either isosceles or right-angled.

If cosines of two angles of a triangle are proportional to the opposite sides, show that the triangle is isosceles

In triangle ABC, a sin A= b sin B. Show that the triangle is isosceles.

If in triangle ABC , (a^2+b^2)sin(A-B)=(a^2-b^2)sin(A+B) ,show that the triangle is either'isosceles or right angled.

If two sides and the median drawn to one of these two sides of a trlangle are proportional to the corresponding sides and median of another triangle,prove that the two triangles are similar.

Choose the correct one If angles of a triangle are in A.P. then one of the angle is

The measures of the angles of a triangle are in A.P. If the greatest angle is double the least angle, express the angles of the triangle in degree and radian.

If one angle of a triangle is equal to one angle of another triangle and the bisectors of these equal angles divide the opposite side in the same ratio then show that the triangle are similar.

The sides of a right angled triangle are in G.P.Find the common ratio.

Sides AB and AC and median AD of a triangle ABC are respectively proportional to sides PQ and PR and median PM of another triangle PQR.Show that triangleABC~trianglePQR .

Prove that the area of a right angled triangle of a given hypotenuse is maximum when the triangle is isosceles.