Question

The sides of a triangular piece of ground measure $15547m,17647m$, and $3521m$, respectively. Find the length of the largest hurdle that can be used to fence it exactly without bending or cutting a hurdle.

• A. $6$ m
• B. $6.5$ m
• C. $7$ m
• D. $7.5$ m

Answer 1

The correct option is C $7$ m

It is given that the sides of the triangular piece of ground are $15547$m, $17647$m and $3521$m,

To find the length of the largest hurdle, we will find the highest common factor of the given sides of the triangular ground as shown below:

$15547=7\times 222117647=7\times 25213521=7\times 503$

Therefore, HCF of the sides is $7$.

Hence, the length of the largest hurdle is $7$m.