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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 $1 \mathrm{~m}$ from each other. There is a triangular grassy lawn in the plot as shown in the Fig. 7.14. 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 $\Delta \mathrm{PQR}$ if $\mathrm{C}$ is the origin?Also calculate the areas of the triangles in these cases. What do you observe?

Geometry

Chapter 7

Coordinate Geometry

Section 4

Area of a Triangle

Geometry Basics

Johns Hopkins University

University of Nottingham

Utica College

Lectures

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We have all the number five. Uh question says that last 10 students office. Second Day School have a lot of the rectangular plot of land garden Boundary of this and one metaphor in there is a triangular grass hill loan restaurants are to source eve. So taking a at origin we have to find the coordinates of the what is it? So if look at there are coordinate system will be getting B four common six pure three comma two fine 65. Okay. No area of triangle in second. Guess what a second. What will the corners of what is a bit your if she is at a reason if she is the origin. So in this case we will be -12 -2. You will be minus 13 common minus six and r will be minus 10 comma minus three. All will be because when season she's uh the at the origin. So this will be in third quadrant which means all will be negative. That's why it is negative. Okay, No we have to find area of triangle in case when area of triangle peak you are Will be able to model of one x 2. We're using the formula that formula strangle former of area of triangle. Said that one by two X one into why one mine? Why two minutes by three plus X two Y three minutes by 1% 31 minutes away too. So in this case it will be four in two to minus five. Three and two 5 -6 plus six into six minus two. So models of one x 2 This is -12 minus three less. 24. OK so 24 -15 99 x two square units. This is the idea. Thank you so much.

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