Question

ABCD is a rectangle whose three vertices are B(4, 0), C(4, 3) and D(0, 3). The length of one of its diagonals is ______.

Options

•  5

• 4

• 3

• 25

Answer 1

ABCD is a rectangle whose three vertices are B(4, 0), C(4, 3) and D(0, 3). The length of one of its diagonals is 5.

Explanation:

BD = \[\sqrt{\left( 0 - 4 \right)^2 + \left( 3 - 0 \right)^2}\] 

\[= \sqrt{4^2 + 3^2}\]

\[ = \sqrt{25}\]

\[ = 5 \text{ units }\]