What set of three numbers could represent the lengths of the side of a right triangle? A.) 8, 12, 16 B.) 6, 7, 8 C.) 5, 12, 13 D.) 16, 32, 36

Answer:C.) 5, 12, 13 Step-by-step explanation:In a right triangle, the sum of the squares of the two shorter sides must equal the square of the longest side (Pythagoras). a² + b² = c² We can test each set of numbers to see which one fits. A.) 8² +  12² =   16²     64 + 144 = 256            208 ≠ 256 B.) 6² +  7² =  8²    36 + 49 = 64            85 ≠ 64 C.) 5² +  12² =   13²     25 + 144 = 169             169 = 169 The numbers 5, 12, and 13 could represent the lengths of the sides of a right triangle. D.) 16² +    32² =    36²    256 + 1024 = 1296               1280 ≠ 1296