To find the length of the hypotenuse of the right triangle with legs measuring 18 m and 24 m, you can use the Pythagorean theorem, which states:
\[ c^2 = a^2 + b^2 \]
where \(c\) is the length of the hypotenuse, and \(a\) and \(b\) are the lengths of the legs of the triangle.
In this case:
- \(a = 18\) m
- \(b = 24\) m
Now, plug in the values:
\[ c^2 = 18^2 + 24^2 \]
Calculating the squares:
\[ c^2 = 324 + 576 \] \[ c^2 = 900 \]
Now take the square root to find \(c\):
\[ c = \sqrt{900} = 30 \text{ m} \]
So, the length of the hypotenuse is \(30\) m.
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