Catalina skates 40 feet due north in a skating rink. Then she skates 30 feet due west, before skating diagonally across the rink back to where she started. What is the total distance Catalina skates?
Step-by-step explanation:
In order to determine how far she skates, create a right triangle. We know each legs' value with one being 30 and the other 40. Now we can find the hypotenuse by using the Pythagorean Theorem.
a^2 + b^2 = c^2
30^2 + 40^2= c^2
900 + 1600 = c^2
2500 = c^2
50 = c
Now that we have all 3 sides of the right triangle, add them together for the total distance. 30 + 40 + 50 = 120 feet
In order to determine how far she skates, create a right triangle. We know each legs' value with one being 30 and the other 40. Now we can find the hypotenuse by using the Pythagorean Theorem.
a^2 + b^2 = c^2
30^2 + 40^2= c^2
900 + 1600 = c^2
2500 = c^2
50 = c
Now that we have all 3 sides of the right triangle, add them together for the total distance.
In order to determine how far she skates, create a right triangle. We know each legs' value with one being 30 and the other 40. Now we can find the hypotenuse by using the Pythagorean Theorem.
a^2 + b^2 = c^2
30^2 + 40^2= c^2
900 + 1600 = c^2
2500 = c^2
50 = c
Now that we have all 3 sides of the right triangle, add them together for the total distance.