The given figure is the lateral face of a square pyramid. AB=AC=25 centimeters and BD=DC=15 centimeters.
What is the length os its base edge?

(a) Calculate the packing efficiency in a Face Centered Cubic lattice. (b) If a metal with atomic mass 209 crystallizes in a simple cubic lattice what is the edge length of its unit cell. (Given d = 91.5 kg m-3).

A cube is a three-dimensional figure as shown in Fig. It has six faces and all of them are identical squares. The length of an edge of the cube is given by l. Find the formula for the total length of the edges of a cube.

ABC is a right angled triangle, having lfloorB=90^(@) . If BD=DC , Show that AC^(2)=4AD^(2)-3AB^(2) OR Prove that area of the equilateral triangle described on the side of a square is half the area of the equilateral triangle described on its diagonal.

In the figure, a triangle ABC is drawn to circumscribe a circle of radius 2 cm such that the segments BD and DC into which BC is divided by the point of contact are the lengths 4 cm and 3 cm respectively. If the area of DeltaABC=21 cm^(2) , find the length of sides AB and AC.