question_answer

Let ABC be a triangle in which BC = 5 cm, \[\angle B={{60}^{o}}\]and AC + AB = 7.5 cm. Given below are the steps of constructing the triangle ABC. Which of the following steps is INCORRECT?

Step I: Draw a line segment BC of length 5 cm.

Step II: Draw an \[\angle XBC={{60}^{o}}\]at point B of line segment BC.

Step III: Cut off PB = 3.5 cm on the ray BX.

Step IV: Join PC.

Step V: Draw\[\bot \]bisector of BC which intersect ray BX at A. Join AC.

Step VI: ABC is the required triangle.

A)  Step II only

B)  Step III only

C)  Step II and V

D)  Step III and V