There is a direct path from gayle's house to the store. due to construction, the direct route is closed and gayle must travel 6 miles east and then 8 miles north in order to get to the store. how long is the direct path from gayle's house to the store?

The direct path is 10 miles long from gayle's house to the store

Step-by-step explanation:

We are given that due to construction, the direct route is closed and gayle must travel 6 miles east and then 8 miles north in order to get to the store.

So, refer the attached figure

So, he travels 6 miles east i.e. AB = 6 miles

Then he travels 8 miles north i.e. BC = 8 miles

So we are supposed to find how long is the direct path from gayle's house to the store i.e.AC

So, to find Ac we will use Pythagoras theorem :

Hence the direct path is 10 miles long from gayle's house to the store

were is the equation