The diagram below shows a triangular field on a farm. and angle
is a point on , such that .
The field is going to be used for livestock, so a fence is to be installed around its perimeter.
Calculate the total length of fencing required.
The owner of the field had estimated the length of fence required to be 98 m.
Calculate the percentage error in her estimation.
The field is to be divided into two parts by installing a new fence connecting to .
Calculate the area of .
The farmer decides that field is too small and wishes instead to divide the original field by adjusting the position of such that angle
Determine how much less fencing is required for given the new position of .
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