Three sides of a triangle are consecutive even integers and the perimeter of the triangle is 180 centimeters. What is the length of each of the three sides?

Question

7599 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-04-23T09:05:12

#58, 60, 62#

Three consecutive even numbers can be expressed in terms of #n#. If #n# is an even number then

#(n-2),(n),(n+2)#

are three consecutive even numbers.

Therefore

#(n-2)+(n)+(n+2) = "180 cm"#

We can simplify so...

#3n+2-2=180#

#3n+0=180#

Divide both sides by #3# to solve for #n#

#(3n)/3=180/3#

#n=60#

#60# is an even integer. Input #60# into the original equation.

#(n-2)+(n)+(n+2)=180#

#(60-2)+(60)+(60+2)=180#

#58+60+62=180 -># check!