#### Answer

26
Yes, the sides 10, 24 and 26 are whole numbers that satisfy the Pythagorean Theorem.

#### Work Step by Step

The Pythagorean Theorem says that $(leg_{1}) ^{2}$+$(leg_{2})^{2}$=$hypotenuse^{2}$.
This formula is more commonly referred to as $a^{2}$+$b^{2}$=$c^{2}$
You are given the lengths of the legs as 10 and 24. Substitute these values in for a and b.
$a^{2}$+$b^{2}$=$c^{2}$
$10^{2}$+$24^{2}$=$c^{2}$
100+576=$c^{2}$
676=$c^{2}$
Take the square root of both sides to find the hypotenuse.
26=c