Faces Edges And Vertices

In a rhombus, the diagonals bisect each other at right angles. Therefore, the diagonals divide the rhombus into four right-angled triangles. The half-lengths of the diagonals form the two perpendicular sides of a right-angled triangle, and the side of the rhombus is the hypotenuse. Given:
One diagonal is 30 cm, so half of it is cm.
The other diagonal is 40 cm, so half of it is cm. Now, using the Pythagorean theorem to find the side of the rhombus:

The correct option is (C):

In a parallelogram, the diagonals bisect each other. Therefore, the midpoint of diagonal AC should be the same as the midpoint of diagonal BD.
The midpoint of and is: Now, let the coordinates of D be . The midpoint of and is: Equating the midpoints, we get: Solving these equations: 1. 2.

The correct option is (B):

To determine the type of triangle, we first calculate the lengths of its sides using the distance formula: - Distance : - Distance : - Distance : Since , the triangle is isosceles. Thus, the triangle formed by the vertices is an isosceles triangle.

The correct option is (A): isosceles triangle