<PRE><B>Question 215491</B>
The second side of a triangle is twice the first side, and the third side is 10 more than the second. the perimeter is 70 ft. Find the sides of the triangle.


Step 1.  Let x be the length of the first side.


Step 2.  Let 2x be the length of the second side since the second side of a triangle is twice the first side.


Step 3.  Let 2x+10 be the length of the third side since the third side is 10 more than the second.


Step 2.  Perimeter P is when you add the three sides of the triangle.


Step 3.  Then {{{P=x+2x+2x+10=5x+10=70}}} or {{{5x=60}}}.  Then {{{x=12}}}


With x=12, then 2x=24  and 2x+10=34.  Check Perimeter P=12+24+34=70 which is a true statement.


Step 4.  ANSWER.  The sides are 12, 24, and 34 feet.


I hope the above steps were helpful.


For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.


Good luck in your studies!


Respectfully,
Dr J</PRE>