The coordinates of the vertices of a triangle are (3,5), (9,13), (10,6), Prove that this triangle is isosceles. Calculate its area.

The coordinates of the vertices of a triangle are(-1,5),(3,7),(1,1).Find the coordinates of its centroid.

The coordinates of the vertices of a triangle are '(1,2),(2,3),(3,1)'. Find the coordinates of the centre of its circumcircle and the circumradius.

If the sides of a triangle are 4, 5 ad 6 cm. Then the area (in sq cm) of triangle is

The vertices of a triangle area (3,0),(3,3) and (0,3). Then the coordinates of the circumcentre are

The mid -points of the sides of a triangle are (1,5,-1),(0,4,-2) and (2,3,4) . Find its vertices.

The vertices of a family of triangles have integer coordinates. If two of the vertices of all the triangles are (0,0) and (6,8) then the least value of areas of the triangles is

The lengths of two sides of a triangle are 8 cm and 10 cm and the angle between them is 40^circ . Calculate its area. What is the area of the triangle with sides of the same Iength, but angle between them 140^circ ?

The coordinates of two opposite vertices of a parallelogram are '(4,5)' and '(1,3)'. What are the coordinates of the polnt of intersection of its diagonals?

The pointsA(0,0), B(10,0),C (5,5sqrt3) are the vertices of the triangle ABC.Find AB,BC,AC and prove that the triangle is equilateral.

Consider the triangle with vertices (0,7,-10) , (1,6,-6) and (4,9,-6) Prove that the triangle is right triangle.