Question

the base of a triangular field is three times its altitude. if the cost of levelling the field at ₹30.50 per sq. metre is ₹7350, find its base and height.

Answer 1

Answer:

We know the area of a triangle = \frac{1}{2}21 x (base) x (altitude)

Let the altitude of the triangle = a

therefore, base length = 3a

=> area, A = \frac{1}{2}21 x 3a x a

=> A = \frac{3}{2} a^{2}A=23a2 sq.metre

Price of levelling the field of area A = A x 30.50

Given : 30.50 A = 7350

            => A = 240.98 sq.metre

Therefore, \frac{3}{2} a^{2} = 240.9823a2=240.98

                  =>  a = 12.67 metre

Hence, altitude length = 12.67 metre , and base length = 38.01 metre

Step-by-step explanation:

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