Question

what is the length of the missing leg? if necessary, round to the nearest tenth. b = millimeters

Explanation:

Step1: Apply Pythagorean theorem

In a right - triangle, $a^{2}+b^{2}=c^{2}$, where $c$ is the hypotenuse and $a$ and $b$ are the legs. Here, $c = 8$ mm and $a = 4$ mm. We want to find $b$. So, $b=\sqrt{c^{2}-a^{2}}$.

Step2: Substitute values

Substitute $c = 8$ and $a = 4$ into the formula: $b=\sqrt{8^{2}-4^{2}}=\sqrt{64 - 16}=\sqrt{48}$.

Step3: Simplify and round

$\sqrt{48}\approx6.9$ mm.

Answer:

$6.9$