Construct Trig ABC: BC=a, BD=b, BA=c

[solakis1]

Given a,b,c construct a trigon ABC with :BC=a,BD=b,BA=c. BD is the bisector of the angle ABC

 

[jvicens]

Thank you for your question. Constructing a triangle with given side lengths and a bisector can be done using a few steps:

1. Draw a line segment BC with length a. This will be the base of the triangle.

2. From point B, draw a line segment BD with length b. This will be the angle bisector of angle ABC.

3. On the line segment BD, mark a point D such that BD = b.

4. With center D and radius c, draw a circle intersecting the line segment BC at point A.

5. Connect points A and C to complete the triangle ABC.

This construction satisfies the given conditions of BC = a, BD = b, and BA = c, and also ensures that BD is the bisector of angle ABC.

I hope this helps. Please let me know if you have any further questions.