Question

A right triangle has a side leg measuring 18 m and another measuring at 24 m

Answer 1

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.