I need to find out the formula to figure the length of a pipe that will be between two other fixed pipes on the same wall at a 45 degree angle. Can someone help me with a simple formula for this. Thanks!

The perimeter of the pool is 97m, the width is 2m more than 1/2 the length, what is the length and width of the pool?

proving tangent formula (tangent squared theta = 1-cos squared theta over 1+cos sqared theta)

What is the locus of a point the distance of which from a fixed straight line is always equal to the length of the tangent from this point to a circle.If it is a parabola find the location of directrix and focus.

consider the circle x2+y2+2x-2y+4=0 and P(2,3) be any point.Let T be the point of contact to the tangent from PT. 1) Find the length of the tangent PT? 2) Find the equation of the tangent PT?