Construct a triangle ABC in which BC = 5.8cm ,angle B= angle C= 30°.
If you can construct a 60°, bisect it and you have your 30° angle. Build from that.
To construct a triangle ABC with the given specifications, follow these steps:
1. Draw a line segment BC of length 5.8cm.
2. At point B, draw a ray that forms an angle of 30° with BC. Label the point where the ray intersects BC as D.
3. Using a protractor, measure an angle of 30° at point C on the opposite side of BC. Label the point where this ray intersects BC as E.
4. The triangle ABC is formed by connecting points A, D, and E.
Note: To check if the construction is correct, you can verify if angles B and C are indeed 30° and if BC measures 5.8cm.