Question

what is the length of the hypotenuse 36 in and 27 in

Answer 1

To find the length of the hypotenuse of a right triangle when the lengths of the two legs are given, you can use the Pythagorean theorem, which states:

\[
c = \sqrt{a^2 + b^2}
\]

where \( c \) is the length of the hypotenuse, and \( a \) and \( b \) are the lengths of the two legs.

In your case, the lengths of the legs are \( 36 \) inches and \( 27 \) inches. Plugging in these values, we get:

\[
c = \sqrt{36^2 + 27^2}
\]

Calculating \( 36^2 \) and \( 27^2 \):

\[
36^2 = 1296
\]
\[
27^2 = 729
\]

Now, add these together:

\[
c = \sqrt{1296 + 729} = \sqrt{2025}
\]

Finally, take the square root:

\[
c = 45 \text{ inches}
\]

So, the length of the hypotenuse is **45 inches**.