SOLUTION: 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

Question 215491: 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
Found 2 solutions by drj, stanbon:
Answer by drj(1380) (Show Source): You can put this solution on YOUR website!
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 or . Then

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
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
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
------------------------
Let the 1st side be "x".
The 2nd side is "2x".
The 3rd side = "2x+10"
----------------------------
Equation:
x + 2x + 2x+10 = 70 feet
5x + 10 = 70
5x = 60
x = 12
----------
1st = 12 feet
2nd = 24 feet
3rd = 34 feet
==============================
Cheers,
Stan H.
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