Question

the cost of turfing is a triangular field at home at rs.25 par 10 m square rs.600.find its altitude if the base is three times the altitude.​

Answer 1

I hope it will help you

Answer 2

The altitude is 12.64 m

Step-by-step explanation:

Let the altitude of triangular field be x

We are given that the base is three times the altitude.​

So, Base = 3x

Area of turfing done at Rs.25 = $10 m^2$

Area of turfing done at Re.1 =$\frac{10}{25}$

Area of turfing done at Rs.600 = $\frac{10}{25} \times 600=240 m^2$

Area of triangular field =$\frac{1}{2} \times Base \times Height$

So,$\frac{1}{2} \times 3x \times x = 240$

$\frac{3}{2}x^2=240$

$x^2=\frac{240 \times 2}{3}$

$x=\sqrt{\frac{240 \times 2}{3}}$

x=12.64

Hence The altitude is 12.64 m

#Learn more:

The base of triangular field is three times its altitude. if the cost of sowing the field at Rs.58 per hectare is Rs. 783, find its base and altitude

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