 Hello and welcome to the session. In this session we discussed the following question which says the parameters of two similar triangles are 20 centimeter and 10 centimeter respectively. If one side of the first triangle is 5 centimeters, find the corresponding side of the second triangle. So in this question we are given two triangles which are similar to each other. We are given their parameters also and we are given one side of the first triangle. We have to find the corresponding side of the second triangle. Let's first recall the result which says that the ratio of the parameters to similar triangles is the same as the ratio of their corresponding sides. This is the key idea for this question. Now let's move on to the solution. Consider these two triangles PQR and ABC. We are given the triangle PQR is similar to the triangle ABC. Then we are given perimeter of say triangle PQR be equal to 20 centimeters and perimeter of triangle ABC be equal to 10 centimeters. And we are also given that one side of the first triangle is 5 centimeters. So we suppose that PQR be equal to 5 centimeters. We are supposed to find the length of the corresponding side of the second triangle. That is we need to find the length of BC. We take that BC be equal to 8 centimeters. Now as we know that the ratio of the parameters of two similar triangles is same as the ratio of the corresponding sides. Therefore we say that perimeter of triangle PQR upon perimeter of triangle ABC is equal to the ratio of the corresponding sides. So this would be equal to QR upon BC. Now we have perimeter of triangle PQR as 20 centimeters. So 20 upon the perimeter of triangle ABC which is 10 is equal to QR that is 5 upon BC which we have assumed to be X. And from here we have X is equal to 5 into 10 upon 20. This 0 cancels with this 0. And so we get X equal to 5 upon 2 or you can say this is equal to 2.5 centimeters. So we are assumed BC to be equal to X centimeters. Therefore we get BC is equal to 2.5 centimeters. Hence we say the corresponding side of the second triangle is 2.5 centimeters. So this is our final answer. This completes the session. Hope you have understood the solution of this question.