Question
what is the length of the hypotenuse if necessary round to the nearest tenth 5 mi and 8 mi
Answers
GPT-4o mini
To find the length of the hypotenuse in a right triangle where the other two sides (the legs) are 5 miles and 8 miles, 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.
Plugging in the values:
\[
c = \sqrt{5^2 + 8^2}
\]
\[
c = \sqrt{25 + 64}
\]
\[
c = \sqrt{89}
\]
Now, we calculate \(\sqrt{89}\):
\(\sqrt{89} \approx 9.434\)
Rounding to the nearest tenth, the length of the hypotenuse is approximately **9.4 miles.**
\[
c = \sqrt{a^2 + b^2}
\]
where \(c\) is the length of the hypotenuse, and \(a\) and \(b\) are the lengths of the other two sides.
Plugging in the values:
\[
c = \sqrt{5^2 + 8^2}
\]
\[
c = \sqrt{25 + 64}
\]
\[
c = \sqrt{89}
\]
Now, we calculate \(\sqrt{89}\):
\(\sqrt{89} \approx 9.434\)
Rounding to the nearest tenth, the length of the hypotenuse is approximately **9.4 miles.**