How do I draw an acute scalene triangle with lengths of 8cm, 10cm, and 16cm?

start with the length of 16

Use a compass and from one end draw an arc with radius 8 above the first line, and from the other end draw an arc with radius 10 to intersect your first arc.
Join the intersection of the arcs to the end points of the first line.
There you have it then!

You need a compass, and there's an instructional video: 1) go to Google

2) Search "Constructing A Triangle With 3 Known Sides"
3) Go the the mathisfun .c0 m link and play the video. Good luck.
(I needed to know the same thing and found it, that's why I recommend it if you have no clue what an arc is)

To draw an acute scalene triangle with side lengths of 8cm, 10cm, and 16cm, you can follow these steps:

1. Start by drawing a straight line segment of any convenient length. This will be the base of your triangle.

2. Mark a point anywhere on this base line to represent one vertex of the triangle.

3. Using a compass, set it to a length of 8cm (the length of one of the sides). Place the compass needle on the vertex you marked in step 2 and draw an arc above the base line.

4. Without changing the compass width, place the compass needle on the intersection point of the arc and the base line, and draw another arc above the base line.

5. These two arcs should intersect at a point above the base line. Mark this point as the second vertex of your triangle.

6. Now, using a ruler, draw a straight line connecting this second vertex to the original vertex (originating from step 2). This will be one of the sides of your triangle, measuring 8cm.

7. Next, draw a line segment from the second vertex to a point above the base line, measuring 10cm. This will be your second side.

8. Lastly, connect the endpoint of the 10cm segment to the original vertex, forming the final side of your triangle, measuring 16cm.

Now you have successfully drawn an acute scalene triangle with side lengths of 8cm, 10cm, and 16cm. Remember to label the vertices and sides for clarity, if necessary.