(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: Â
∵ 100 ≠50
Case 2: Â
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: Â
100 ≠49 + 64
100 ≠103