Question

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

Explanation:

Step1: Apply Pythagorean theorem

Let hypotenuse $c=5$, known leg $b=2$, missing leg $a$. The theorem is $a^2 + b^2 = c^2$, rearranged to $a = \sqrt{c^2 - b^2}$.

Step2: Substitute values into formula

$$a = \sqrt{5^2 - 2^2}$$

Step3: Calculate squares inside root

$$a = \sqrt{25 - 4}$$

Step4: Simplify and compute root

$$a = \sqrt{21} \approx 4.6$$

Answer:

4.6 kilometers