SOLUTION: the harris and keller families decide to go to the movies together. the harris family lives 3 km west and 2 km north of the movie theater. the keller family lives 4 km east 3 km so

Question 360823: the harris and keller families decide to go to the movies together. the harris family lives 3 km west and 2 km north of the movie theater. the keller family lives 4 km east 3 km south of the movie theater. how far apart do the families live?
Answer by Jstrasner(112) (Show Source): You can put this solution on YOUR website!
Hey,
So for this question, we need to use the Pythagorean theorem which is:
c^2 = a^2 + b^2 where c is the hypotenuse, or the longest side.
For this problem, since the houses are on complete opposite sides of the theater, then we need to use the Pythagorean theorem to find the distance the theater is from each house.
For the Harris house, a=2, b=3, so 2^2 + 3^2 = c^2 => 4+9 = 13 => 13=c^2
so the distance is the square root of 13 = 3.6
For the Keller house, a=3, b=4, so 3^2 + 4^2 = c^2 => 9+16=25 => 25=c^2
so the distance is the square root of 25 which is 5
Therefore:
The distance between the houses is 5 + 3.6 = 8.6
I hope this helps!
RELATED QUESTIONS
Hi harris and iris have some stamps. If harris gives iris 83 stamps, he will have the... (answered by ankor@dixie-net.com)

The Harris family and the Richardson family each used their sprinklers. The water output... (answered by ikleyn)

The Harris family and the Richardson family each used their sprinklers. The water output... (answered by solver91311)

Salaries of Sami and Harris are in the ration of 2:3 if the salary of each increased by... (answered by ankor@dixie-net.com,MathTherapy)

The Harris family and the Hayes family each used their sprinklers last summer. The water... (answered by Boreal)

The Krakow airport is 3 km west and 5 km north of the city center. At 1 pm, Zuza took... (answered by Theo)

Two families drive from Kingston to Niagara Falls. The Maretti family leaves first and... (answered by stanbon,aaaaaaaa)

You are at the center of square forest of 60 km width. If you decide to get out walking... (answered by LinnW)

The Grade 12 Leadership class has decided to go backpacking in Algonquin Provincial Park... (answered by addingup)