Question

2. Raghu wanted to buy a rope to fence his triangular field in which two sided pointing towards East and North directions are 12 m 5m respectively. Unfortunately, he forgot the length of the side joining the ends of previous two sides. Kindly help him in buying the total length of rope needed for fencing.

Answer 1

Given,

Length of side in East direction $\[ = 12m\]$

Length of side in North direction $\[ = 5m\]$

Solution,

This will create a right angled triangle and third side will be its hypotenuse.

$\[\begin{array}{l} = \sqrt {{{12}^2} + {5^2}} \\ = \sqrt {144 + 25} \\ = \sqrt {169} \\ = 13m\end{array}\]$

The length of third side will be 13 m.

Length of rope needed for fencing,

$\[\begin{array}{l} = 12 + 5 + 13\\ = 30m\end{array}\]$

Hence the length of rope needed for fencing is 30 m.