Using a ruler and a pair of compasses only. construct a triangle ABC in which /AB/=4.8cm, BA^C=60° and measure the length of BC.

You should have no difficulty getting a 60° angle, just

construction an equilateral triangle, one of the basic constructions.

After that, it looks like you are given only more more bit
of information, so your diagram cannot be unique.

btw, what is
BA^C=60°
supposed to mean?

It means only A

Please just solve the question please.

To construct triangle ABC using only a ruler and a pair of compasses, follow these steps:

Step 1: Draw a line segment AB of length 4.8 cm using the ruler.

Step 2: Place the compass at point A and draw an arc with radius greater than half of 4.8 cm.

Step 3: Without changing the compass width, place the compass at point B and draw another arc that intersects the first arc. Label the intersection point as C.

Step 4: Use the ruler to draw a line segment from B to C. This will be the side BC of the triangle.

Now, let's measure the length of BC using a ruler:

Step 1: Line up the ruler with point B and point C. Measure the distance between these two points.

Step 2: Read the measurement on the ruler to determine the length of BC.

Note: Make sure your ruler is accurately calibrated to get an accurate measurement.

That's it! You have constructed triangle ABC and measured the length of BC using only a ruler and a pair of compasses.