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

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

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

Answer

Answer:

$3.7$

Explanation:

Step1: Apply Pythagorean theorem

$a^{2}+b^{2}=c^{2}$, where $c = 4$ (hypotenuse) and $a = 1.4$ (one - leg), we want to find $b$. So $b=\sqrt{c^{2}-a^{2}}$.

Step2: Substitute values

$b=\sqrt{4^{2}-1.4^{2}}=\sqrt{16 - 1.96}=\sqrt{14.04}$.

Step3: Calculate and round

$\sqrt{14.04}\approx3.7$ (rounded to the nearest tenth).