Problem 97 Suppose that you paddle across a stream that is 100 feet wide. As you paddle, the current moves you down stream so that you arrive at 40 feet beyond the closest point you started. How far did you travel? 5 The Last Problem Set Something Else We All Know Corollary 98 Given a point P and a line & not containing P, the perpendicular segment from P to is shorter than any other segment connecting P to a point on l. Use the Pythagorean Theorem to reduce this to some algebra. Inscribing an Angle in a Semicircle Theorem 99 If XY is a diameter of circle C and Q is a third point on C, than ZXQY is a right angle. Things to use: X, Y, Q are on the circle; O is between X and Y.