Question

find the length of the third side. if necessary, round to the nearest tenth.

Explanation:

Step1: Identify the hypotenuse and legs

The hypotenuse is the longest side of a right - triangle. Let the unknown side be $x$. Given sides are $a = 6$ and $c=7$. Assuming $c$ is the hypotenuse.

Step2: Apply the Pythagorean theorem

The Pythagorean theorem is $a^{2}+b^{2}=c^{2}$. We want to find $b$, so $b=\sqrt{c^{2}-a^{2}}$. Substitute $a = 6$ and $c = 7$ into the formula: $b=\sqrt{7^{2}-6^{2}}=\sqrt{49 - 36}=\sqrt{13}\approx3.6$.

Answer:

$3.6$