Question

Find the distance between the pair of points. (6,16) and (-22,12)​

Answer 1

28.3 units (3 s.f.)

Explanation:

`\boxed{distance \: between \: 2 \: points = \sqrt{ {(x1 - x2)}^(2) + {(y1 - y2)}^(2) } }`

Using the formula above,

distance

`= \sqrt{[6 - ( - 22)]^(2) + (16 - 12) {}^(2) }`

`= \sqrt{(6 + 22) {}^(2) + {4}^(2) }`

`= \sqrt{ {28}^(2) + 16 }`

`= √(784 + 16)`

`= √(800)`

= 28.3 units (3s.f.)