Question

Arrange the steps to construct a △ABC where BC and sum of sides AB+AC and ∠B is given:

• A. Mark D as AB+AC
• B. Draw line BC
• C. Join point D & C
• D. Construct ∠B
• E. Bisect a ⊥ to DC

Answer 1

The steps to construct a triangle. When one side and sum of other two sides and an included angle is given are:

1. Draw the line segment of given length using ruler.

2. Construct the given included angle to the point and draw a line through it.

3. Mark the point measuring sum of side’s length on the line drawn above.

4. Join the marked point with the $3^{rd}$ point.

5. Draw a perpendicular bisector for the above line.

and at last

6. Where the perpendicular bisector cuts the sum of side line mark that point, and join with the 3rd point.