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Solution


Q.

A garden is in the shape of a square. The gardener grew saplings of Ashoka tree on the boundary of the garden at a distance of 1 m from each other. He wants to decorate the garden with rose plants. He chose a triangular region inside the garden to grow them.

In the above situation, the gardener took help from class 10 students. They made a chart for it, which looks like the given figure 

Based on the above information, answer the following questions:

 

(i) If A is taken as origin, what are the coordinates of the vertices of ΔPQR
1 P(4, 6), Q(3, 2), R(6, 5).  
2 P(3, 6), Q(4, 2), R(6, 5).  
3 P(5 6), Q(3, 2), R(6,3).  
4 P(4, 2), Q(3, 4), R(6, 5).  

Ans.

(1)

If A is taken as origin, then coordinates of the vertices of ΔPQR are:
P(4, 6), Q(3, 2), R(6, 5).

Finding distances PQ and QR

PQ=(3-4)2+(2-6)2=1+16=17R=(6-3)2+(5-2)2=9+9=18=32