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2) Given a line segment AB, divide it in the ratio
m:n
, where both m and n are positive integers.
Suppose we want to divide AB in the ratio 3:2 (m=3, n=2)
To build the tangents from a location outside of a circle.
Let O be the centre of the circle, and P be the exterior point from which the tangents are to be drawn.
Step 1: Connect and divide the PO. Let M be PO's midpoint.
Step 2: Mark the circle's centre (M) and radius (MO or MP). At locations Q and R, let it cross the specified circle.
Step 3: Include PR and PQ
Step 4: The necessary tangents to the circle are PR and QQ.
