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

Click here to see ALL problems on Triangles

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.