1. **Problem Statement:** Construct triangle XYZ with sides |YZ| = 6 cm, |ZX| = 6 cm, and |ZY| = 9 cm, and angle YZX = 60°. Then construct the perpendicular bisector (mediator) of segment YX. Draw a circle centered at X with radius 5 cm. Find the point h1 where the mediator intersects the circle inside triangle XYZ. 2. **Step 1: Construct triangle XYZ** - Draw segment YZ = 6 cm. - At point Z, construct angle YZX = 60°. - From Z, draw segment ZX = 6 cm along the 60° angle. - Connect points X and Y to complete triangle XYZ. 3. **Step 2: Construct the mediator of YX** - Find the midpoint M of segment YX. - Draw a line perpendicular to YX at M; this is the mediator. 4. **Step 3: Draw the circle centered at X with radius 5 cm** - Using a compass, draw a circle with center X and radius 5 cm. 5. **Step 4: Find point h1** - Identify the intersection points of the mediator and the circle. - Select the intersection point h1 that lies inside triangle XYZ. 6. **Summary:** - Triangle XYZ is constructed with given sides and angle. - Mediator of YX is drawn. - Circle centered at X with radius 5 cm is drawn. - Point h1 is the intersection of mediator and circle inside the triangle. This completes the construction as per the problem requirements.