Answer
$$c=26.0dm$$
Work Step by Step
This is a right triangle. This means we can use the Pythagorean Theorem to find the length of the hypotenuse.
The formula is $c=\sqrt (a^{2}+b^{2})$
In this case,
$a=24.0dm$
$b=10.0dm$
So,
$c=\sqrt (24^{2}+10^{2})$
$c=\sqrt (576+100)$
$c=\sqrt 676$
$c=26.0dm$
