find the length of the third side. if necessary, round to the nearest tenth.\nanswer attempt 1 out of 2

Explanation:

Step1: Apply Pythagorean theorem

For a right triangle with legs $a$, $b$, hypotenuse $c$, $c=\sqrt{a^2+b^2}$

Step2: Substitute given values

$a=9$, $b=5$, so $c=\sqrt{9^2+5^2}$

Step3: Calculate squares and sum

$9^2=81$, $5^2=25$, sum: $81+25=106$

Step4: Compute square root, round

$\sqrt{106}\approx10.3$

Answer:

10.3