Question

AOBC is a rectangle whose three vertices are A(0, 2), O(0, 0) and B(4, 0). The square of the length of its diagonal is equal to ______.

Options

• 36

• 20

• 16

• 4

Answer 1

AOBC is a rectangle whose three vertices are A(0, 2), O(0, 0) and B(4, 0). The square of the length of its diagonal is equal to 20.

Explanation:

AB² = `sqrt((x_2-x_1)^2+(y_2-y_1)^2)`

= (4)² + (−2)²

= 16 + 4

= 20 units.