13) Which set of numbers represents the lengths of the sides of a right triangle? A) 4,5,6 C) 2,3,6 B) 5,12,13 D) 5,5,10

## Step 1: Pythagorean Theorem Check for Option A<br />### We check if $4^2 + 5^2 = 6^2$. $16 + 25 = 41 \ne 36$. Thus, option A is not a right triangle.<br /><br />## Step 2: Pythagorean Theorem Check for Option B<br />### We check if $5^2 + 12^2 = 13^2$. $25 + 144 = 169 = 13^2$. Thus, option B represents a right triangle.<br /><br />## Step 3: Pythagorean Theorem Check for Option C<br />### We check if $2^2 + 3^2 = 6^2$. $4 + 9 = 13 \ne 36$. Thus, option C is not a right triangle.<br /><br />## Step 4: Pythagorean Theorem Check for Option D<br />### We check if $5^2 + 5^2 = 10^2$. $25 + 25 = 50 \ne 100$. Thus, option D is not a right triangle.