(5, 12, 13) are the set of numbers that could represent the length of a right triangle.
Step-by-step explanation:
In any right angle triangle sum of square of the largest side is equal to the sum of square of the other two sides.
Using pythagoras:
where largest side is the hypotenuse.
Case 1:
∵ 100 ≠ 50
Case 2:
36 ≠ 16 + 25
36 ≠ 41
Case 3:
169 = 25 + 144
169 = 169
Since , ∴ option C is the correct answer. So, (5, 12, 13) are the set of numbers that could represent the length of a right triangle.
Case 4:
100 ≠ 49 + 64
100 ≠ 103