construct triangle cuz with length xy=6cm, length xz=8cm and yz=10cm.construct the mediator of xz and construct the mediator of line yz

Answer 1

To construct the median of line segment XZ, follow these steps:

1. Draw line segment XZ of length 8 cm.
2. Locate the midpoint M of line segment XZ by using a compass and drawing two arcs from points X and Z with equal radius greater than half of 8 cm. The intersection of these arcs is the midpoint M.
3. Draw a line through points Y and M. This line is the median of line segment XZ.

To construct the median of line segment YZ, follow these steps:

1. Draw line segment YZ of length 10 cm.
2. Locate the midpoint N of line segment YZ by using a compass and drawing two arcs from points Y and Z with equal radius greater than half of 10 cm. The intersection of these arcs is the midpoint N.
3. Draw a line through points X and N. This line is the median of line segment YZ.

By constructing these medians, you have formed triangle XYZ.