Question

•A ( -3,-4)

•B (5,2)
•C (11,-6)
What is Ab?
A.) 8
B.) 10
C.) 5
D.) 3

Answer 1

B.) 10

Explanation:

You could use the distance formula to calculate the length of AB, I prefer a visual approach, because it requires less memorization.

Draw a vertical line from B and a horizontal line from A until they intersect at D (5, 4).

Then you have a right triangle ABD, and you can use Pythagoras' theorem to calculate AB.

`\begin{array}{rcl}AB^(2) & = & AD^(2) + BD^(2)\\& = & 8^(2) + 6^(2)\\ & = & 64 + 36\\& = & 100\\AB& = & √(100)\\&= & \mathbf{10}\\\end{array}`