Triangle abc a(-3,1) b(1,3) c(2,-4) . move point c so that the triangle becomes right angle. is there a methods apart from guess and check?

A20? -foot ladder is placed against a vertical wall of a? building, with the bottom of the ladder standing on level ground 19 feet from the base of the building. how high up the wall does the ladder? reach?

Evaluate cos2θ for cosθ = square root of 3/2

Including 6% sales tax, an inn charges $135.68 per night. find the inns nightly cost