Question

If A = (10, 4) and B = (2, 19) what is the length of AB

Answer 1

Hello,

Answer:

The length of AB is 17

Explanation:

`AB = \sqrt{(x_(B) -x_(A) ) {}^(2) + (y_(B) -y_(A) ) {}^(2) }`

`AB = \sqrt{(2 - 10) { }^(2) + (19 - 4) {}^(2) }`

`AB = \sqrt{( - 8) {}^(2) + (15) {}^(2) }`

`AB = √(64 + 225)`

`AB = √(289)`

`\boxed{AB = 17}`