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

= x^{2}

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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