 Hello and welcome to the session. Today I'll help you with the following question. The question says, construct the falling quadrilateral, quadrilateral G-O-L-D in which we have O-L equal to 7.5 centimeters, G-L equal to 6 centimeters, G-D equal to 6 centimeters, L-D equal to 5 centimeters and O-D equal to 10 centimeters. Before making the actual quadrilateral G-O-L-D, we will make a rough sketch of this quadrilateral and mark the measurements. You can see the rough sketch of the quadrilateral G-O-L-D in which we have L-D is 5 centimeters, G-D is 6 centimeters, O-L as 7.5 centimeters, G-L as 6 centimeters and O-D as 10 centimeters. Now let's move on to the solution. Now we'll sketch the actual figures step by step. Our first step of construction would be to draw a line segment L-D equal to 5 centimeters. So as you can see we have drawn L-D equal to 5 centimeters. Now in the next step we will locate the point G where G-D is 6 centimeters and L-G is 6 centimeters. So our next step of construction would be taking D as the center and radius 6 centimeters we draw an arc. Now as you can see in the figure we have taken D as the center and 6 centimeters as the radius and we have drawn an arc. Now in the next step we will take L-ST center and radius 6 centimeters and we will draw another arc intersecting the arc drawn in the previous step. Now as you can see in the figure we have taken L-ST center and radius 6 centimeters and drawn another arc intersecting the previous arc. Now we will mark this point of intersection of the two arc as G. Now in the next step we will join the points L and G and G and D. So we have joined the vertices L and G and G and D where L-G is 6 centimeters and G-D is also 6 centimeters. Now in the next step take D as the center and radius 10 centimeters to draw an arc. So as you can see with D as the center and radius 10 centimeters we have drawn an arc. Now in the next step with L-ST center and radius 7.5 centimeters we draw another arc intersecting the arc drawn in step 5. So you can see with L-ST center and radius 7.5 centimeters we have drawn an arc intersecting the previous arc. Now let's mark this point of intersection as O. Now we have joined the vertices O and L and O and D. So we have joined the vertices O and L and O and D where O-L is 7.5 centimeters and O-D is 10 centimeters. Now finally we have joined the vertices O and G. As you can see we have joined the vertices O and G and hence we can see that G-O-L-D is the required quadrilateral in which we have L-D equal to 5 centimeters, G-D equal to 6 centimeters, O-L equal to 7.5 centimeters and the diagonals G-L equal to 6 centimeters and O-D equal to 10 centimeters. Hope you enjoyed the session. Have a good day.