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Abcd is a Rectangle Whose Three Vertices Are A(4,0), C(4,3) and D(0,3). Find the Length of One Its Diagonal. - Mathematics

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Question

ABCD is a rectangle whose three vertices are A(4,0), C(4,3) and D(0,3). Find the length of one its diagonal.

Solution

The given vertices are B(4, 0), C(4, 3) and D(0, 3) Here, BD one of the diagonals So 

BD =`sqrt((4-0)^2+(0-3)^2)`

`= sqrt((4)^2 +(-3)^2)`

`=sqrt(16+9)`

`= sqrt(25)`

= 5 

Hence, the length of the diagonal is 5 units .

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Chapter 16: Coordinate Geomentry - Exercises 4

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RS Aggarwal Mathematics [English] Class 10
Chapter 16 Coordinate Geomentry
Exercises 4 | Q 3

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