Sure, here’s the detailed, step-by-step solution for constructing triangle XYZ where XY = 10 cm, XZ = 7 cm, and angle YXZ = 50°:
1. Draw side XY.
- Begin by drawing a straight line segment that measures 10 cm, labeling the endpoints as X and Y. This forms side XY of the triangle.
2. Put the centre of a protractor on X.
- Place the centre of a protractor at point X on the line segment XY.
3. Mark 50° from XY.
- Align the baseline of the protractor along the line segment XY. From point X, locate and mark a 50° angle on the paper.
4. Place a ruler between X and the 50° mark.
- Remove the protractor and position a ruler so that it aligns with both point X and the 50° mark you made.
5. Draw a 7 cm line from X to Z.
- Using the ruler, draw a line segment from point X, extending through the 50° mark, and measure out exactly 7 cm. Label the endpoint of this line as point Z.
6. Draw side YZ.
- Finally, connect points Y and Z with a straight line segment. This forms side YZ of triangle XYZ.
By following these steps in order, you will accurately construct triangle XYZ as required.
