[HELP] Algebra 1 Word Problems !

This is my benchmark review question. The answer key just give me the solution, they don't explain the detail. I hope you can show all your work you did. Thank you! Hint: answer from answer key is 2radical13 mi or radical 52
Thanks !

The distance travelled by Renae makes a right triangle with two legs measuring 4 miles and 6 miles respectively. The distance from house is the hypotenuse from the house to the end point.

We can use Pythagoras Theorem to calculate it.

distance from the house = square root (4^2 + 6^2)