 Hello and welcome to the session. In this session we will learn how to construct a triangle similar to a given triangle as per given scale factor. This construction involves two different situations. In one the triangle to be constructed is smaller and in the other it is larger than the given triangle. The word scale factor here means ratio of the size of triangle to be constructed with the corresponding sides of the given triangle. Suppose we are given a triangle ABC we have to construct a triangle similar to this given triangle with its sides equal to 4 upon 3 of the corresponding sides of the given triangle that is we are given that the scale factor is equal to 4 upon 3. Let's do this step by step. The first step is we construct the triangle ABC first. We have taken a triangle ABC in the next step we draw any way BX making an acute angle with BC on the side opposite to the vertex A. This is the rate BX and this is an acute angle. We are given that the scale factor is 4 upon 3. Now greatest of 4 and 3 is 4. So in the next step we locate 4 points B1, B2, B3 and B4 on the rate BX so that we have BV1 is equal to B1, B2 is equal to B2, B3 is equal to B3, B4. These are the 4 points B1, B2, B3, B4. In the next step we join B3 to C. We have taken B3 because this is the third point and the number 3 is smaller of the two numbers 4 and 3 of the scale factor. Thus we have drawn B3 and the point C. Then we draw a line through B4 parallel to B3C intersecting extended line segment BC at C dash. So we have drawn B4C dash parallel to B3C. In the next step we draw a line through C dash parallel to intersecting the extended line segment BA at A dash. As you can see we have drawn this line C dash A dash parallel to the line CA. Thus A dash BC dash is the required triangle and triangle ABC is similar to triangle A dash BC dash. While constructing this we can also take a ray making an acute angle with the sides AB or AC. So this completes our session. Hope you have understood how to construct a triangle similar to a given triangle.