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.