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.
This is because when Jimmy turned north, he formed a right angle triangle with his starting point. This means he could have simply jogged in a straight line to reach the same point without having to jog west first.
Drawing a straight line from the starting point to the ending point would create a ____ triangle.
Drawing a straight line from the starting point to the ending point would create a right triangle.
You can use the Response area to find the direct straight line distance for Jimmy
Sure, to find the direct straight line distance Jimmy would have covered, we can use the Pythagorean theorem.
Let the distance traveled west be represented by the leg of the triangle, which is 20 meters.
Let the distance traveled north be represented by the other leg of the triangle, which is 25 meters.
To find the hypotenuse (the direct straight line distance Jimmy would have traveled if he went straight from home to the final point), we can use the Pythagorean theorem which states:
a² + b² = c²
Where:
a = 20 meters
b = 25 meters
c = the direct straight line distance we want to find
So,
20² + 25² = c²
400 + 625 = c²
1025 = c²
c ≈ √1025
c ≈ 32.02 meters
Therefore, the direct straight line distance that Jimmy would have traveled if he went straight from home to the final point is approximately 32.02 meters.