Question

The construction of a triangle is not possible when

• A. its perimeter and two base angles are given
• B. its base, a base angle and the sum of other two sides are given
• C. its base, a base angle and the difference of other two sides are given
• D. its base, a base angle and perimeter are given

Answer 1

The correct option is D its base, a base angle and perimeter are given

Construction of the triangle when it's perimeter and two base angles are given is as follows

Construction of a Triangle with Given Base, Base Angle and Difference between Two Sides(AC >AB)

Construction of a Triangle with Given Base, Base Angle and Sum of Other Two Sides

A triangle cannot be constructed when its base, a base angle and perimeter are given.