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
To construct the triangle XYZ, follow these steps:
Step 1: Draw a straight line and label it XY with a length of 6cm.
Step 2: From point X, draw a line segment XZ with a length of 8cm, making an angle of your choice with XY.
Step 3: From point Y, draw a line segment YZ with a length of 10cm, making an angle of your choice with XY.
Step 4: Connect points Z and X to complete the triangle XYZ.
To construct the perpendicular bisector of line segment XZ, follow these steps:
Step 1: Draw arcs on both sides of line segment XZ, making sure the arcs intersect the line.
Step 2: Label the intersection points as A and B.
Step 3: Draw a straight line passing through points A and B. This line is the perpendicular bisector of segment XZ.
To construct the perpendicular bisector of line segment YZ, follow these steps:
Step 1: Draw arcs on both sides of line segment YZ, making sure the arcs intersect the line.
Step 2: Label the intersection points as C and D.
Step 3: Draw a straight line passing through points C and D. This line is the perpendicular bisector of segment YZ.
Now you have successfully constructed the triangle XYZ and the perpendicular bisectors of lines XZ and YZ.
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.