Question

The point A is on X axis with abscissa, 5 and B is on y axis with ordinate 12. ∴ The length of AB is ______.

Options

• 5 units

• 12 units

• 13 units

• 15 units

Answer 1

The point A is on X axis with abscissa, 5 and B is on y axis with ordinate 12. ∴ The length of AB is 13 units.

Explanation:

Point A is on the x-axis with abscissa 5 → Coordinates of A = (5, 0)

Point B is on the y-axis with ordinate 12 → Coordinates of B = (0, 12)

`"Distance" = sqrt((x_2 − x_1)^2 + (y_2 − y_1)^2)`

Distance = `sqrt((0 − 5)^2 + (12 − 0)^2)`

Distance = `sqrt(25 + 144)`

Distance = `sqrt169`

Distance = 13