Which of the following is a Pythagorean Triple and would be the sides of a right triangle?
A 3 , 5 , 8
B 5 , 12 , 24
C 12 , 16 , 20
D 4 , 4, 10
3*4 = 12
4*4 = 16
5*4 = 20
SO
C is a 3,4,5 right triangle
To determine if a set of three numbers forms a Pythagorean triple, we need to check if the sum of the squares of the two smaller numbers equals the square of the largest number.
Let's check each option:
A) 3, 5, 8:
3^2 + 5^2 = 9 + 25 = 34, which is not equal to 8^2 = 64. Therefore, option A is not a Pythagorean triple.
B) 5, 12, 24:
5^2 + 12^2 = 25 + 144 = 169, which is equal to 13^2. Therefore, option B is not a Pythagorean triple.
C) 12, 16, 20:
12^2 + 16^2 = 144 + 256 = 400, which is equal to 20^2. Therefore, option C is a Pythagorean triple.
D) 4, 4, 10:
4^2 + 4^2 = 16 + 16 = 32, which is not equal to 10^2 = 100. Therefore, option D is not a Pythagorean triple.
Therefore, the correct answer is option C (12, 16, 20), which forms a Pythagorean triple and would be the sides of a right triangle.