The correct answer is the last option: 5,12,13
Explanation:
1. The hypotenuse of the triangle is the larger side. Keeping this on mind, you must apply the Phytagorean Theoream, as below:ç
a²=b²+c²
"a" is the hyptenuse and "b" and "c" are the legs of the right triangle.
2. Then, you have:
a=13
b=12
c=5
3. If you apply the formula above to calculate the hypotenuse and the result is 13, then those are the lengths of sides of the right triangle. Therefore:
a²=b²+c²
a=√b²+c²
a=√(12)²+(5)²
a=√144+25
a=13