Question

17 km, 15 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 $c=17$, one leg $b=15$, missing leg $a$. Theorem: $a^2 + b^2 = c^2$
Rearrange: $a^2 = c^2 - b^2$

Step2: Calculate $a^2$

$a^2 = 17^2 - 15^2 = 289 - 225 = 64$

Step3: Find $a$

$a = \sqrt{64} = 8$

Answer:

8