Question

If cost of levelling park at the rate of 2km^2 is 2700 .If the park is an right angled triangle and one side of this 45km then find its hypotenuse.​

Answer 1

Answer:

hypotenuse = 75 km

Step-by-step explanation:

The cost of levelling a park is 2700 for each 2km/sq.

If the park is in right angled triangular form with one side being 45 km.

Find:- hypotenuse.

Lets use formula:

Area of the triangular park - Area of park = Total cost of levelling/Rate of levelling (1350 = Area of park).

Formula:

1350 = 1/2 × 45 × Height

Height

1350 × 2/45

Height

60 km

Length of hypotenuse:

\begin{gathered}= \sqrt{(45^2 + 60^2)} \\ = \sqrt{(2025 + 3600)} \\ = \sqrt{5625} \\ = 75 \: km\end{gathered}=(452+602)=(2025+3600)=5625=75km

As a result, length of hypotenuse is 75 km.

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