Question

In the given figure, the length of a diagonal is:

Options

• 3 units

• 4 units

• 5 units

• 25 units

Answer 1

5 units

Explanation:

Given:

Vertices of the rectangle are A(0, 0), B(4, 0), C(4, 3) and D(0, 3).

Diagonal AC connects (0, 0) and (4, 3).

Using distance formula:

`d = sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2`

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

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

`AC = sqrt(16 + 9)`

`AC = sqrt(25)`

AC = 5 units