Question

If A=(9,18) and B=(1,12), what is the length of AB

Answer 1

The length of AB is 10.

Explanation:

To find the length of AB, we can imagine the line AB is the hypotenuse of a right triangle, so by using point A and point B to find x and y, we can find the hypotenuse (r).

A = (9,18) --> this means that x = 9, y = 18

B = (1,12) --> this means that x = 1, y = 12

So the change in x is 9-1 = 8 units, and the change in y is 18-12 = 6 units

So the triangle would have x = 8, y = 6.

Using Pythagorean theorem, x²+y²=r² --> so √(x²+y²) = r

√(8² + 6²) = r

r = 10

Therefore the length of AB is 10.

Answer 2

the length of AB is 10