From his home, glenn travels 3 miles east, 4 miles north, 6 miles east, and then 8 miles north before finally reaching his destination. assuming his entire trip occurred on a single flat plane, how many miles in a direct line is glenn's home from his destination?

In order to solve this, you need a diagram.

From this diagram, you can set up an expression.
Let's say the total distance is represented by the variable T.



To solve for x and y, you need to do the Pythagorean Theorem.



Now plug these values back into the expression and you will have your final answer.

Where are the