Final answer:
The shortest distance between Caroline's house and Mattie's house is 10 blocks.
Step-by-step explanation:
To find the shortest distance between Caroline's house and Mattie's house, we can use the Pythagorean theorem. Since Caroline walked 6 blocks north and then 8 blocks east, we can consider this as a right triangle with legs of length 6 and 8.
Using the Pythagorean theorem, we can find the length of the hypotenuse:
c = √(a^2 + b^2)
c = √(6^2 + 8^2)
c = √(36 + 64)
c = √100
c = 10.
Therefore, the shortest distance between Caroline's house and Mattie's house is 10 blocks.