Q:

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

Accepted Solution

A:
Answer:The sides are 3, 4, and 5Step-by-step explanation:Let one side be 'n', if the side lengths are consecutive integers, we havenn + 1andn + 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 nThe perimeter is 12, so our equation is..n + (n + 1) + (n + 2) = 12Now 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 andn + 2 = 5So the sides are 3, 4, and 5