Question

What set of three numbers could represent the lengths of the side of a right triangle?

Answer 1

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