Question

6 m length and 8 m height
What is the length of the hypotenuse? If necessary, round to the nearest tenth.
c =__ meters

Answer 1

To find the length of the hypotenuse in a right triangle where you have the lengths of the two legs, you can use the Pythagorean theorem:

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

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

In your case, \( a = 6 \) meters and \( b = 8 \) meters.

Now, we can plug in the values:

\[
c = \sqrt{6^2 + 8^2}
\]
\[
c = \sqrt{36 + 64}
\]
\[
c = \sqrt{100}
\]
\[
c = 10
\]

Thus, the length of the hypotenuse is \( 10 \) meters.