Question

what is the length of the missing leg if necessary round to the nearest tenth 8km 2km

Answer 1

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

\[
a^2 + b^2 = c^2
\]

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

Assuming you meant that one leg is 8 km and the other leg is 2 km, we can find the hypotenuse \(c\):

\[
8^2 + 2^2 = c^2
\]
\[
64 + 4 = c^2
\]
\[
68 = c^2
\]

Now, take the square root of both sides to find \(c\):

\[
c = \sqrt{68} \approx 8.2 \text{ km (rounded to the nearest tenth)}
\]

If instead, you want the length of the missing leg given the hypotenuse and another leg, please clarify which leg you are referring to as missing.

Answer 2

a on the right

Answer 3

If you have a right triangle where one leg (let's call it leg \(a\)) is unknown, the other leg (which we'll call leg \(b\)) is 2 km, and the hypotenuse (which we'll call \(c\)) is 8 km, you can use the Pythagorean theorem:

\[
a^2 + b^2 = c^2
\]

Substituting \(b\) and \(c\) with the given values:

\[
a^2 + 2^2 = 8^2
\]
\[
a^2 + 4 = 64
\]

Now, solve for \(a^2\):

\[
a^2 = 64 - 4
\]
\[
a^2 = 60
\]

Now, take the square root of both sides to find \(a\):

\[
a = \sqrt{60} \approx 7.75
\]

Rounding to the nearest tenth, the length of the missing leg \(a\) is approximately:

\[
\boxed{7.8 \text{ km}}
\]