Question

What is the length of LINE GH?
And please explain why thank you:

Answer 1

co-ordinates of point G are (1,2)

co-ordinates of point H are (3,-3)

so, by distance formula :

`\sqrt{( {x1 - x1})^(2) + ( {y1 - y2})^(2) } \\ = \sqrt{( {1- 3})^(2) + ( {2 - ( - 3)})^(2) } \\ \sqrt{( { - 2})^(2) + ( {2 + 3})^(2) } \\ \sqrt{( { - 2})^(2) + ( {5})^(2) } \\ √(4 + 25) \\ √(29)`

so, it is root(29) or 5.38 units