Question

Given a line segment AB, construct a triangle ABC with AB as the base and AC = 5 cm.

Answer 1

The triangle ABC has been constructed with AB as the base and AC = 5 cm

Explanation:

Given:

Line segment AB

Length of AC = 5 cm

Geometric Principles:

• The perpendicular bisector of a line segment divides the line segment into two segments with equal lengths.

• The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Solution Steps:

Step 1 : Draw a line segment AB with any random length.

Step 2 : Draw the perpendicular bisector of AB.

Step 3 : Mark a point C on the perpendicular bisector such that AC = 5 cm.

Step 4: Connect points A and C.

Conclusion:

The triangle ABC has been constructed with AB as the base and AC = 5 cm

Diagram: