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

Solution:

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

$B D=\sqrt{(4-0)^{2}+(0-3)^{2}}$

$=\sqrt{(4)^{2}+(-3)^{2}}$

$=\sqrt{16+9}$

$=\sqrt{25}$

$=5$

Hence, the length of the diagonal is 5 units..

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