A boy walk 30m eastward and then 40m northward calculate the shortest from the starting point.
3 4 5 right triangle, hypotenuse is 50
To calculate the shortest distance from the starting point, we can use the Pythagorean theorem.
In this case, the boy walked 30 meters eastward and then 40 meters northward. This forms a right-angled triangle, with one side measuring 30 meters (eastward distance) and the other side measuring 40 meters (northward distance).
To find the hypotenuse, which represents the shortest distance from the starting point to the final position, we can use the Pythagorean theorem:
c² = a² + b²
Where:
- c represents the length of the hypotenuse (shortest distance)
- a represents the length of one of the perpendicular sides (eastward distance)
- b represents the length of the other perpendicular side (northward distance)
In this case, a = 30 meters and b = 40 meters, so the equation becomes:
c² = 30² + 40²
c² = 900 + 1600
c² = 2500
Taking the square root of both sides, we have:
c = √2500
c ≈ 50 meters
Therefore, the shortest distance from the starting point to the final position is approximately 50 meters.