Ram walks 2 km to the East, then he turns to South and walks 6 km. He again turns to East and walks 2 km, then he turns to North and walks12  km. How far is he from the starting point?

To solve this problem, we need to visualize Ram's path and calculate the distance from his starting point.

1. Ram starts at a point and walks 2 km to the East.
2. He then turns South and walks 6 km. At this point, he is 2 km East and 6 km South of the starting point.
3. He turns East again and walks 2 km. Now, he is 4 km East (2 km + 2 km) and 6 km South of the starting point.
4. Finally, he turns North and walks 12 km. Since he was already 6 km South, walking 12 km North means he is now 6 km North of the starting point (12 km - 6 km), and still 4 km East.

To find the total distance from the starting point, we can use the Pythagorean theorem, which 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.

Here, the distance East (4 km) and the distance North (6 km) are the two sides of a right triangle, and the distance from the starting point is the hypotenuse.

So, the distance from the starting point is the square root of (4 km^2 + 6 km^2) = square root of (16 + 36) = square root of 52 = approximately 7.21 km.

So, Ram is approximately 7.21 km from the starting point.