 Hello and welcome to the session. In this session we will discuss constructing a quadrilateral. Here we shall discuss how we can construct a quadrilateral when two diagonals and three sides are given. Let us try to construct a quadrilateral A, B, C, D where we are given AC equal to 6 centimeters, BD equal to 5 centimeters, AB equal to 3 centimeters, DC equal to 4 centimeters and CD equal to 3.5 centimeters. First let's draw a rough sketch for this quadrilateral ABCD. This is the rough sketch of the quadrilateral ABCD where AB is 3 centimeters, BC is 4 centimeters and CD is 3.5 centimeters that is these are the three sides of the quadrilateral and we have AC is 6 centimeters and BD is 5 centimeters that is these are the two diagonals of the quadrilateral. Now let's start constructing the quadrilateral ABCD step by step. So now when you visualize this rough sketch you can easily see that we can construct the triangle ABC using SSS construction. So in the first step we draw triangle ACB using SSS construction. So we have constructed the triangle ACB where AC is of length 6 centimeters, AB is of length 3 centimeters and BC is of length 4 centimeters. Now in the next step we need to locate the point D which is at a distance of 5 centimeters from the point B and 3.5 centimeters from the point C. Then in the next step we have with B as the center draw an arc of radius 5 centimeters. So as you can see we have drawn this arc now the point D would lie on this arc. Then in the next step we have with C as the center we draw an arc of radius 3.5 centimeters. So the point D lies on both these arcs it is the point of intersection of this arc let this be point D. Then in the next step we shall join AD and DC and also BD. So we have join AD, DC and BD. So as you can see we have joined AD, CD, CD is of length 3.5 centimeters and BD where BD is the diagonal of the quadrilateral ABC of length 5 centimeters. So this ABCD is the required quadrilateral when we are given 3 sides AB, BC and CD and the 2 diagonals AC and BD. Thus we have ABCD is the required quadrilateral. So this completes the session. Hope you have understood how we construct a quadrilateral when we are given the 3 sides and 2 diagonals of a quadrilateral.