Jimmy ran 20 meters west from home and then turned north to jog 25 meters. Jimmy ran 45 meters, but could have arrived at the same point by jogging in a straight line. if you drew a straight line from the starting point to the ending point which kind of triangle would it create?
The triangle formed by the straight line would be a right triangle, with the starting point being the right angle.
if went in a straight line from beginiing to end how far would he have went?
To find the distance Jimmy would have traveled if he had gone in a straight line from the beginning to the end, we can use the Pythagorean theorem since the triangle formed is a right triangle.
Using the Pythagorean theorem: a^2 + b^2 = c^2
where a and b are the lengths of the two shorter sides (20 meters west and 25 meters north) and c is the length of the hypotenuse (the straight line distance).
Plugging in the values:
20^2 + 25^2 = c^2
400 + 625 = c^2
1025 = c^2
c = √1025
c ≈ 32.02
So, if Jimmy had gone in a straight line from the beginning to the end, he would have traveled approximately 32.02 meters.