Question

For constructing a triangle whose perimeter and both base angles are given, the first step is to:

• A. Draw a base of any length
• B. Draw the base of length $=$ perimeter
• C. Draw the base angles from a random line.
• D. Draw a base of length $=\frac{1}{3}\times$ perimeter.

Answer 1

Answer: (B)

Draw the base of length $=$ perimeter

Below are the steps for constructing a triangle whose perimeter and base angles are given.

Step 1 : Draw a line segment/base equal to perimeter

Step 2 : From any point X draw ray at one of the given base angles. From any point Y draw ray at second of the given base angles

Step 3 : draw angle bisector of X and Y, two angle bisectors intersect each other at point A

Step 4 : Draw line bisector of XA and AY respectively these two line bisectors intersect XY at point B and C

Step 5 : Join A to B and A to C

Step 6 : Triangle ABC is the required triangle.

Hence, the answer is 'Draw the base of length $=$ perimeter'.