With a ruler and a pair of compasses only.A ust such (us)=8cm,(ut)=10cm and (st)=6cm.bisector l1of [UST,extend the sector to a point D such that (UD)=(US)

1. Draw a line segment for [ST] with a length of 6cm using the ruler.

2. Using the compass, draw a circle with a center at point S and a radius of 6cm to intersect line segment [ST] at points P and Q.
3. With the compass still open to a radius of 6cm, draw a circle with a center at point T to intersect line segment [ST] at points R and Q.
4. Draw a straight line from point U to point Q using the ruler.
5. Bisect the angle UQS by drawing a circle with a center at point Q and passing through point S and U. Let the intersection of this circle with line segment [UQ] be point X.
6. Draw a circle with a center at point U and passing through point X to intersect the circle drawn in step 3. Let the intersection of these two circles be point D.
7. Draw a straight line from point U to point D using the ruler. This line segment [UD] should have a length of 8cm.