Question
what is the length of the hypotenuse if necessary round to the nearest tenth 7 mi and 7 mi
Answers
GPT-4o mini
To find the length of the hypotenuse of a right triangle where both legs are 7 miles, you can use the Pythagorean theorem, which states:
\[
c = \sqrt{a^2 + b^2}
\]
In this case, both legs \(a\) and \(b\) are 7 miles:
\[
c = \sqrt{7^2 + 7^2} = \sqrt{49 + 49} = \sqrt{98}
\]
Calculating \(\sqrt{98}\):
\[
\sqrt{98} \approx 9.899
\]
Rounding to the nearest tenth, the length of the hypotenuse is approximately:
\[
\boxed{9.9} \text{ miles}
\]
\[
c = \sqrt{a^2 + b^2}
\]
In this case, both legs \(a\) and \(b\) are 7 miles:
\[
c = \sqrt{7^2 + 7^2} = \sqrt{49 + 49} = \sqrt{98}
\]
Calculating \(\sqrt{98}\):
\[
\sqrt{98} \approx 9.899
\]
Rounding to the nearest tenth, the length of the hypotenuse is approximately:
\[
\boxed{9.9} \text{ miles}
\]