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ABCD is a rectangle whose three vertices are B(4, 0), C(4, 3)

Question

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

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ABCD is a rectangle whose three vertices are

B (4, 0), C (4, 3)

and

D (0, 3)

. Find the length of one of its diagonal.

12 mins ago

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Text solutionVerified

ABCD is a rectangle whose three vertices are

B (4, 0), C (4, 3)

and

D (0, 3)

Find length of one of its diagonal, say BD: using distance formula, we get

B D = (x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}

= (4 - 0)^{2} + (0 - 3)^{2}

= (4)^{2} + (- 3)^{2}

= 16 + 9

= 25

= 5

units

Therefore, length of one of its diagonal is

1

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Question Text	ABCD is a rectangle whose three vertices are $B (4, 0), C (4, 3)$ and $D (0, 3)$ . Find the length of one of its diagonal.
Answer Type	Text solution:1
Upvotes	152