 Hello and welcome to the session. In this session we will discuss the following question and the question says, construct an isosceles triangle ABC with base BC is equal to 7 centimeters and angle B is equal to 45 degrees. Let's start the solution now. So in the question we are given an isosceles triangle ABC. So we can say that since the isosceles triangle has equal base angles and we are given that one of the base angles that is angle B is equal to 45 degrees. Therefore, angle B is equal to angle C which is equal to 45 degrees. So we have to construct a triangle in which the length of one of the sides is given and two base angles are known to us. We shall now write down the steps of construction. Step one is draw a line segment BC equal to 7 centimeters. So we have drawn a line segment BC which is equal to 7 centimeters. Step two is at B construct angle ABC which is equal to 45 degrees. So at B we will construct an angle of 45 degrees. This is the angle PBC which measures 45 degrees. Step three is at C construct angle QCB which is equal to 45 degrees. So at C we have to construct an angle QCB equal to 45 degrees. So this is angle QCB and it measures 45 degrees. Step four is let PB and QC intersect at A. So this point of intersection of PB and QC is A. Thus we have constructed an asosceles triangle ABC in which BC is equal to 7 centimeters. And both the base angles angle B and angle C are equal to 45 degrees. Therefore ABC is the required triangle. With this we end our session. Hope you enjoyed the session.