If the sides of a triangle are produced in order, what will be the sum of exterior angles thus formed ?

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

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.

In a right triangle the sum of the other two angles is ____.

Take three different colour sheets , place one over the other and draw a triangle on the top sheet. Cut the sheets to get triangles of different colour which are identical. Mark the vertices and the angles as shown. Place the interior angles angle1,angle2 and angle3 on a straight line, adjacent to each other, without leaving any gap. What can you say about the total measure of the three angles angle1,angle2 and angle3 ? Can you use the same figure to explain the ''Exterior angle property'' of a triangle ? If a side of a triangle is stretched, the exterior angle so formed is equal to the sum of the two remote interior angles.

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

If the lengths of the sides of a triangle are in AP and the greatest angle is double the smallest, then a ratio of lengths of the sides of this triangle is

If the angles of a triangles are in the ratio 3 : 4: 5 then the ratio of the largest side to the smallest side of the triangle is

In the adjacent figure, ABC is a triangle in which angleB = 50^(@) and angleC = 70^(@) . Sides AB and AC are produced. If ‘z’ is the measure of the angle between the bisectors of the exterior angles so formed, then find 'z'.

If the angles of triangle are in the ratio 4 :1:1 , then the ratio of the longest side to the perimeter is