How do you find the distance between (2,10) (2,10) and (10,16)(10,16)?

1 Answer
Jun 21, 2017

10

Explanation:

Use the distance formula:

Distance = sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2)(x2x1)2+(y2y1)2

Plug your points into the formula.

You can make either coordinate set #1. Let's use (2, 10) as our first.

(2, 10) (2,10)
x_1 = 2, y_1 = 10x1=2,y1=10

(10, 16)(10,16)
x_2 = 10, y_2 = 16x2=10,y2=16

Distance = sqrt((10 - 2)^2 + (16 - 10)^2)(102)2+(1610)2

= sqrt(8^2 + 6^2)=82+62
= sqrt(64 + 36)=64+36
= sqrt(100)=100
= 10=10

The distance between the two points is 10.