Question

Arrange the steps to construct a △ABC where BC and difference of sides AB-AC (AB>AC) and ∠B is given:

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

Answer 1

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

1. Draw the line 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 difference 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. Wherever the perpendicular bisector cuts the difference of side line mark that point, and join with the $3^{rd}$ point.