Question

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?

Answer 1

if went in a straight line from beginiing to end how far would he have went?

Answer 2

The triangle formed by the straight line would be a right triangle, with the starting point being the right angle.

Answer 3

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.