Question

what is the length of side c rounded to the nearest tenth of an inch?
the length of side c rounded to the nearest tenth of an inch is $square$ in.
(the triangle has two sides: 17 in, 19 in, with a right angle between them, and side c is the hypotenuse)

Explanation:

Step1: Identify right triangle formula

This is a right triangle, so use Pythagorean theorem: $c^2 = a^2 + b^2$, where $a=17$, $b=19$, $c$ is the hypotenuse.

Step2: Substitute values into formula

$c^2 = 17^2 + 19^2$
$c^2 = 289 + 361$

Step3: Calculate sum and take square root

$c^2 = 650$
$c = \sqrt{650}$

Step4: Compute and round to nearest tenth

$\sqrt{650} \approx 25.495$，rounded to 25.5

Answer:

25.5 in