A right triangle has side links that are consecutive integers and a perimeter of 12 feet. what are the angles of the triangle

The sides are 3, 4, and 5

Step-by-step explanation:

Let one side be 'n', if the side lengths are consecutive integers, we have

n

n + 1

and

n + 2 are our side lengths. adding 1 to n gives us the next integer. Adding 2 to n gives use the second consecutive integer to n

The perimeter is 12, so our equation is ...

n + (n + 1) + (n + 2) = 12

Now combine like terms and solve ...

n + n + 1 + n + 2 = 12

3n + 3 = 12

3n = 9 (subtract 3 from both is sides)

n = 3 (divide by 3 on both sides)

Since n = 3,

n + 1 = 4 and

n + 2 = 5

So the sides are 3, 4, and 5