find the distance between the point where she started and the point where she ended.

Question

Carrie walks 120 feet east then 160 feet south. find the distance between the point where she started and the point where she ended. hint: use the Pythagorean Theorem.

Answer 1

120² + 160² = c²

14,400 + 25,600 = c²

c² = 40,000

c = 200 ft

Answer 2

You could also use the 3-4-5- triangle relationship to help you. You could divide 120 and 160 by 40 because they share 40 as a factor. Then using a^2 + b^2 = c^2 and a 3-4-5 triangle, the distance would be 40 times 5 or 200 feet.