Question

A park is in the form of a right angled triangle with hypotenuse 50 &m.If one of the side is 40m find the cost of levelling at the rate of Rs. 3 per 5q.

Answer 1

first, we have to find the area of the triangle using the third side. Let the third side be x . By Pythagoras theorem:

$x=\sqrt[]{50^2-40^2}=\sqrt[]{2500-1600}=\sqrt[]{900}=30$

So, the area of the right triangle is half of the base time height.

$\begin{gathered} A=\frac{1}{2}\times40\times30 \\ =\frac{1200}{2} \\ =600 \end{gathered}$

Now, the cost of leveling will be the area times the rate of leveling:

$C=600\times3=1800$

THus, the cost of leveling the park is Rs. 1800.