Theo, Nancy, and Mary each drove separately to meet at Approximately how
their grandmother's house for dinner. Theo drove 50 grandmother's hou
miles, Nancy drove V2,840 miles, and Mary's route is
shown below.
Order the distances
13 mi
their grandmother's
48 mi
Mary's route

Mary's house is approximately 49.73 miles from her grandmother's house.

The distances the three drove were;

Mary drove for 49.73 miles, Theo drove 50 miles and Nancy drove 53.299 miles.

Explanation:

The given triangle has a 13 mile long adjacent side, a 48 mile long opposite side and the distance of Mary's route is the hypotenuse. As we have two sides of the triangle, we can solve for the length of the other side by using Pythagoras' theorem. Assume the hypotenuse of the triangle measures x miles. According to Pythagoras theorem, x = √(13² + 48²) , x = √169 + 2,304 x = √2,473 = 49.729. Rounding this off, we get Mary's route was 49.73 miles long.Nancy drove √2,840 miles = 53.2916 miles.So Mary drove the shortest distance of 49.73 miles, second shortest was Theo who drove for 50 miles and the longest was Nancy who drove for 53.299 miles.