Question

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

Explanation:

Step1: Identify the sides

Let the two given sides be $a = 6$ and $b = 7$. Assume we want to find the hypotenuse $c$ of the right - triangle.

Step2: Apply Pythagorean theorem

The Pythagorean theorem is $c^{2}=a^{2}+b^{2}$. Substitute $a = 6$ and $b = 7$ into the formula: $c^{2}=6^{2}+7^{2}=36 + 49=85$.

Step3: Solve for $c$

Take the square - root of both sides: $c=\sqrt{85}\approx9.2$.

Answer:

$9.2$