Step-by-step explanation:
To construct a triangle ABC with the given side lengths AB = 24 cm, CB = 19 cm, and CA = 17 cm, we can follow these steps:
1. Start by drawing a straight line and label it as AB, with a length of 24 cm.
2. Place the compass at point A and set its width to 17 cm. Draw an arc that crosses the line AB.
3. Without changing the compass width, place it at point B and draw another arc that intersects the previous one.
4. Label the point of intersection between the two arcs as C.
5. Draw a line segment connecting point C to both A and B, creating triangle ABC.
6. Measure the lengths BC and CA to ensure that they correspond to the given side lengths (BC = 19 cm, CA = 17 cm).
Remember to use a ruler to ensure precise measurements and a protractor to ensure accurate angles if needed.
