Question

the perimeter of a triangle is 51 cm.
the lengths of its sides are consecutive ODD integers. find the lengths of all three sides.

Answer 1

Let one side be x , then the other two would be x+2 and x+4
perimeter is the sum of all the three sides
so\[x+x+2+x+4=51\]
combining like terms we get
\[3x+6=51\]
subtract both sides by 6
\[3x=45\]
divide both sides by 3
we get
\[x=15\]
so the sides are 15, 17 and 19