Question

If A=(0,0) and B=(8,2), what is the length of AB

Answer 1

`\boxed{\sf Distance_(AB)= 8.24 \ units }`

Explanation:

Here two points are given to us and we need to find the distance between the two points . The given points are , A(0,0) and B(8,2) . The distance between the two points can be found out using the Distance Formula , which is ,

Distance Formula:-

`\sf\implies \green{ Distance =√( (x_2-x_1)^2+(y_2-y_1)^2)}`

Therefore on substituting the respective values ,we can find the Distance as ,

`\sf\longrightarrow Distance = √( ( 0 - 8)^2 + (0-2)^2)`

Simplify the brackets ,

`\sf\longrightarrow Distance =√( (-8)^2+(-2)^2)`

Square the numbers inside the squareroot ,

`\sf\longrightarrow Distance =√( 64 + 4)`

Add the numbers inside the squareroot ,

`\sf\longrightarrow Distance = √(68)`

Find the value of squareroot,

`\sf\longrightarrow \boxed{\blue{\sf Distance = 8.24 \ units }}`

Hence the distance between the two points is 8.24 units .