The delivery truck drove 5 miles from store A to store B. Then the truck drove 13 miles from store B to the warehouse. If store A is directly south of store B and directly east of the warehouse, how far is store A from the warehouse!​

The distance from the store A to the warehouse is of 13.93 miles.

Step-by-step explanation:

The delivery truck drove 5 miles from store A to store B

5 miles south.

13 miles from store B to the warehouse.

13 miles east.

The situation can be represented by:

A

B         Warehouse

In which the distance of A to B is of 5 miles, and the distance of B to the warehouse is of 13 miles. Thus, the distance of store A to the warehouse is the hypothenuse of a right triangle, with sides 5 and 13.

Using the Pytagorean Theorem:

The distance from the store A to the warehouse is of 13.93 miles.

ca = ec

cpctc makes it so that corresponding parts of the triangle you proved to be equal are equal, the other options aren't part of the part of the triangles you proved to be equal.