Which of the following sets of numbers is a Pythagorean triple?

77, 35, 112

70, 35, 78

75, 36, 83

77, 36, 85

In order to identify if the given set is a Pythagorean triple, add the square of the two smaller numbers. The sum should be equal to the square of the remaining number.

(1) 77² + 35² = 7154; 112² = 12544; Not Equal

(2) 70² + 35² = 6125; 78² = 6084; Not Equal

(3) 75² + 36² = 6921; 83² = 6889; Not Equal

(4) 77² + 36² = 7225; 85² = 7225; Equal

The answer is the fourth choice.