Question

5 km
a
2 km
what is the length of the missing leg? if necessary, round to the nearest tenth.
a = kilometers

Explanation:

Step1: Apply Pythagorean theorem

Let hypotenuse $c=5$, one leg $b=2$, missing leg $a$. Formula: $a^2 + b^2 = c^2$
Rearrange: $a^2 = c^2 - b^2$
Substitute values: $a^2 = 5^2 - 2^2 = 25 - 4 = 21$

Step2: Calculate a

$a = \sqrt{21} \approx 4.583$
Round to nearest tenth: $a \approx 4.6$

Answer:

4.6