Question

A right triangle with the lengths of 30 and 90.
what is the hypotenuse?

answers:

94.9

50

9,000

Answer 1

To find the hypotenuse of a right triangle with the lengths of the two legs being 30 and 90, we 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 other two sides.

Here, \(a = 30\) and \(b = 90\).

Now, we can calculate the hypotenuse:

\[
c = \sqrt{30^2 + 90^2}
\]
\[
c = \sqrt{900 + 8100}
\]
\[
c = \sqrt{9000}
\]
\[
c = 94.868 \approx 94.9
\]

So, the hypotenuse is approximately 94.9. Therefore, the correct answer is **94.9**.