Ayush starts walking from his house to office . Instead of going to the office directly , he goes to bank first , from there to his daughter 's school and then reaches the office. What is the extra distance travelled by Ayush in reaching his office ? (Assume that all distance covered are in straight lines ). If the house is situated at (2,4) bank at (5,8), school at (13,14) and office at (13,26) and coordinates are in km.

Explanation

To find the extra distance traveled by Ayush in reaching his office, we need to calculate the total distance he traveled from his house to the bank, then to the school, and finally to the office, and compare it to the direct distance from his house to the office.

### Step 1: Calculate the distance from Ayush's house to the bank (A to B)
- The coordinates of Ayush's house (A) are (2, 4) and the bank (B) are (5, 8).
- Using the distance formula:
\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]
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