If one side of a triangle is double the other, and the angles on opposite sides differ by `60^0,` then the triangle is

If the area of the square drawn on any side of a triangle is equal to the sum of the areas of the squares drawn on the other two sides of the triangle ,then the triangle will be right-angled triangle, the opposite angle of the greatest side of which will be "......................" .

If two sides of a triangle are roots of the equation x^2-7x+8=0 and the angle between these sides is 60^0 then the product of inradius and circumradius of the triangle is 8/7 (b) 5/3 (c) (5sqrt(2))/3 (d) 8

If the sides of a triangle are in the ratio 5:8:11 and theta denotes the angle opposite to the largest side of the triangle, then find the value of "tan"^2 theta/2 .

Prove that if the difference of the areas of the squares drawn on any two sides of a triangle be equal to the area of square drawn ono its third side, then the triangle is a right-angled triangle.

The sides of a triangle are in the ratio 1: sqrt3:2. Then the angles are in the ratio

If two sides of a triangle are 2sqrt""3-2 and 2sqrt""3+2 and their included angle is 60^(@) , then the other angles are

The length of the hypotenuse of a right angled triangle is a Find the lenghts of its other sides , so that the area of the triangle is maximum.

The coordinates of one vertex of an equilateral triangle are (2,3) and the equation of its opposite side is x+y=2 . Find the equations of its other sides.

Equilateral triangles are drawn on the three sides of a right angled triangle. Show that the area of the triangle on the hypotenuse is equal to the sum of the areas of triangles on the other two sides.

A 12 cm long wire is bent to form a triangle with one of its angles as 60^(@) . Find the sides of the triangle when its area is the largest.