Question

A park is in the shape of a right-angled triangle. The fencing of grass bends is to be spread along the longest side of the park. If one side of the is 60m and its area is 1350sq.m, then the hypotenuse is

Answer 1

Answer:

Hey there

Ur answer is-

We know that area of a right-angled triangle is

$\frac{1}{2}$×base×height

So, here let us take base as 60 m

So, other side will be-

$\frac{1}{2}$×60×height=1350

$\frac{60}{2}$×height=1350

30×height=1350

Height=$\frac{1350}{30}$

          =45

So, height is 45 m

Now, to find the hypotenuse of the right angled triangle, use pythagoras theorem-

Hypotenuse² = base² + height²

                       =√(base²+height²)

                       = √(60²+45²)

                       = √(3600+2025)

                       =√(5625)

                       = 75 m

Hence the hypotenuse of the right angled triangle is 75 m

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