c= 4√7
1) Given that we have a leg of 12 and a hypotenuse of 16 units. Let's use the Pythagorean Theorem to find the missing leg.
2) a² =b²+c²
hypotenuse² = leg² +leg²
16² =12² +c²
256= 144 + c²
256 -144 = c²
112=c²
√c²=√112
c=4√7 (approximately 10.58 units)
3) Hence, we can state that the missing leg has the size of 4√7 units