1972 AHSME Problems/Problem 13
Problem 13
Inside square (See figure) with sides of length inches, segment is drawn where is the point on which is inches from . The perpendicular bisector of is drawn and intersects , and at points , and respectively. The ratio of segment to is
Solution
Let the line passing through parallel to intersect and and and respectively. Since is the midpoint of , and . Since , , hence our answer is .