Question

The measurement of the vertex angle (${70}^o$) and the base of a triangle is given. Rahul constructed a triangle ABC with B as the vertex angle. Which of the following will be true for the triangle ABC.

• A. AB = BC
  
• B. AC = AB
• C. AC = AB = BC
• D. < BAC = < BCA

Answer 1

Answer: (A), (D)

The correct options are
A AB = BC

D < BAC = < BCA

With these given conditions, only an isosceles triangle can be drawn. In an isosceles triangle two sides and two angles are equal. Since the vertex angle is at B :
AB = BC
$\angle$BAC = $\angle$BCA