The Class X students of a secondary school in Krishinagar have been allotted a rectangular plot of land for their gardening activity. Sapling of Gulmohar are planted on the boundary at a distance of 1m from each other. There is a triangular grassy lawn in the plot as shown in the figure. The students are to sow seeds of flowering plants on the remaining area of the plot. (i) Taking A as origin, find the coordinates of the vertices of the triangle. (ii) What will be the coordinates of the vertices of if C is the origin? Also calculate the areas of the triangles in these cases. What do you observe?

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(i) Taking A as origin, we will take AD as x-axis and AB as y-axis. It can be observed that the coordinates of point P, Q, and R are (4, 6), (3, 2), and (6, 5) respectively. (ii) Taking C as origin, CB as x-axis, and CD as y-axis, the coordinates of vertices P, Q, and R are (12, 2), (13, 6), and (10,...
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(i) Taking A as origin, we will take AD asx-axis and AB asy-axis. It can be observed that the coordinates of point P, Q, and R are (4, 6), (3, 2), and (6, 5) respectively. (ii) Taking C as origin, CB asx-axis, and CD asy-axis, the coordinates of vertices P, Q, and R are (12, 2), (13, 6), and (10, 3) respectively. It can be observed that the area of the triangle is same in both the cases. read less
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