a triangle has sides with lengths in centimeters that are consecutive even integers. Find the lengths if the perimeter is 186 cm

Question

a triangle has sides with lengths in centimeters that are consecutive even integers. Find the lengths if the perimeter is 186 cm

Answer 1

Let S = side one, S + 2cm = side 2, and S + 4cm = side 3

 

P = S + (S + 2cm) + (S + 4cm) perimeter of  a triangle is the sum of its sides

 

186cm =  S + (S + 2cm) + (S + 4cm) combine like terms

 

186cm = 3S + 6cm Subtract 6cm from both sides to isolate S

 

180cm = 3S Divide both sides by 3

 

60cm = S

 

62cm = S + 2

 

64cm = S + 4 add all three sides to check

 

186cm = S + S + 2 + S + 4 check