In a classroom, 4 friends are seated at the points A, B, C and D as shown in Fig. 7.8. Champa and Chameli walk into the class and after observing for a few minutes Champa asks Chameli, “Don’t you think ABCD is a square?” Chameli disagrees. Using distance formula, find which of them is correct.

Asked by Abhisek | 1 year ago |  103

##### Solution :-

From figure, the coordinates of points A, B, C and D are (3, 4), (6, 7), (9, 4) and (6,1).

Find distance between points using distance formula, we get

AB=BC=CD=DA $$3\sqrt{2}$$ and diagonals AC=BD=6

All sides are of equal length. Therefore, ABCD is a square and hence, Champa was correct.

Answered by Pragya Singh | 1 year ago

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