The perimeters of two similar triangles are ^@ 50 \space cm^@ and ^@35 \space cm^@ respectively. If one side of the first triangle is ^@150 \space cm^@, find the corresponding side of the second triangle.
In the given figure, three circles with centers ^@ A, B, ^@ and ^@ C ^@ touch each other externally. If ^@ AB = 7 \space cm, BC = 9 \space cm,^@ and ^@ AC = 6 \space cm^@. What is the radius of the circle with center ^@A^@ ?
A hemisphere depression is cut out from one face of a cubical wooden block such that the diameter of the hemisphere is equal to the edge of the cube. Choose the correct surface area of the remaining solid.
The angle of elevation of the top of a tower from the two points ^@ P ^@ and ^@ Q ^@ at distances of ^@ a ^@ and ^@ b \space (a > b) ^@ respectively from the base and in the same straight line with it are complementary. The height of the tower is: