The correct answer is the last option: 9,40,41
Explanation:
1. The hypotenuse of the triangle is the larger side. Keeping this on mind, you must apply the Phytagorean Theoream, as below:
a²=b²+c²
"a" is the hyptenuse and "b" and "c" are the legs of the right triangle.
2. Then, you have:
a=41
b=40
c=9
3. If you apply the formula above to calculate the hypotenuse and the result is 41, then those are the lengths of sides of the right triangle. Therefore:
a²=b²+c²
a=√b²+c²
a=√(40)²+(9)²
a=√1600+81
a=41