Question

perpendicular bisectors are required during the construction of a triangle when perimeter of the triangle and two base angles are given.

• A. Two
• B. Three
• C. Four
• D. One

Answer 1

The correct option is A Two

Steps to construct a triangle when perimeter and two base angles are given.

Step 1: Line segment XY of length equal to the perimeter of the triangle is drawn.

Step 2: $\angle X$ and $\angle Y$ equal to the value of base angles are drawn.

Step 3: Angle bisectors of $\angle X$ and $\angle Y$ are constructed which meet at point A.

Step 4: Perpendicular bisectors of segment AX and AY are constructed which meet the segment XY at point B and C respectively.

So, in the process two angle bisectors and two perpendicular bisectors are constructed.