Abhay drives 4km to the north and then 3 km to the east . Find the distance between the starting point and the terminating point .
Use the Pythagorean Theorem to find the diagonal (hypotenuse).
a^2 + b^2 = c^2
To find the distance between the starting point and the terminating point, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
In this case, the distances traveled in the north and east directions form the two sides of a right triangle, with the hypotenuse being the straight-line distance between the starting point and terminating point.
Given that Abhay drives 4 km to the north and then 3 km to the east, we can consider the northward distance as the vertical leg and the eastward distance as the horizontal leg of the triangle.
Using the Pythagorean theorem, we can calculate the distance between the starting point and the terminating point as follows:
Distance^2 = (Northward distance)^2 + (Eastward distance)^2
Applying this formula, we get:
Distance^2 = (4 km)^2 + (3 km)^2
Distance^2 = 16 km^2 + 9 km^2
Distance^2 = 25 km^2
Taking the square root of both sides, we find:
Distance = √(25 km^2)
Distance = 5 km
Therefore, the distance between the starting point and the terminating point is 5 km.