Question

given that 5,12,13 is a pythagorean triple, identify another example of pythagorean triple from the following
10,12,13
25,60,39
50,120,130
15,25,39
explain how you get your answer

Answer 1

To determine if a set of numbers is a Pythagorean triple, we need to check if the sum of the squares of the two smaller numbers is equal to the square of the largest number.

Let's check each option:

1) 10, 12, 13:
10^2 + 12^2 = 100 + 144 = 244
13^2 = 169

Since 244 is not equal to 169, (10, 12, 13) is not a Pythagorean triple.

2) 25, 60, 39:
25^2 + 60^2 = 625 + 3600 = 4225
39^2 = 1521

Since 4225 is equal to 1521, (25, 60, 39) is a Pythagorean triple.

3) 50, 120, 130:
50^2 + 120^2 = 2500 + 14400 = 16900
130^2 = 16900

Since 16900 is equal to 16900, (50, 120, 130) is a Pythagorean triple.

4) 15, 25, 39:
15^2 + 25^2 = 225 + 625 = 850
39^2 = 1521

Since 850 is not equal to 1521, (15, 25, 39) is not a Pythagorean triple.

In conclusion, (25, 60, 39) and (50, 120, 130) are the examples of Pythagorean triples from the given options.