Q. 24.4( 44 Votes )

The base of a triangular field is three times its altitude. If the cost of sowing the field at Rs58 per hectare is Rs783, find its base and height.

Answer :

It is given that the base of the triangular field is three times greater than its altitude


Let us assume height of the triangular field be x and base be 3x


We know that,


Area of triangle = × base × height


= × x × 3x


= x2


We know that,


1 hectare = 10,000 sq metre


Given,


Rate of sowing the field per hectare = Rs. 58


Total cost of sowing the triangular field = Rs. 783


Therefore,


Total cost = Area of the triangular field × Rs. 58





x = 300 m


Hence,


Height of the triangular field = x = 300 m


Base of triangular field = 3x = 3 × 300 = 900 m


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