1. **Stating the problem:** We are given a triangle with angles $43^\circ$, $100^\circ$, and $37^\circ$ at vertices A, B, and C respectively, and side lengths $AB=3$ cm, $AC=7$ cm, and $BC=12$ cm. We need to determine if this triangle is accurately drawn and labeled. 2. **Check angle sum:** The sum of angles in any triangle must be $180^\circ$. $$43^\circ + 100^\circ + 37^\circ = 180^\circ$$ This confirms the angles are consistent. 3. **Check side lengths against angles:** In a triangle, the side opposite the largest angle should be the longest side. - Largest angle is $100^\circ$ at vertex B. - Side opposite angle B is $AC = 7$ cm. - Side $BC = 12$ cm is opposite angle A ($43^\circ$) or C ($37^\circ$)? Actually, side $BC$ is opposite angle A. Since $BC=12$ cm is longer than $AC=7$ cm, but angle B ($100^\circ$) is larger than angle A ($43^\circ$), this contradicts the rule that larger angles face longer sides. 4. **Conclusion:** The triangle is not accurately drawn and labeled because the side lengths do not correspond correctly to the given angles. **Final answer:** False