SOLUTION: the sum of the sides of a triangle is 100 inches. the angles are in the continued proportion 1:2:4. find the sides.

Question 212418: the sum of the sides of a triangle is 100 inches. the angles are in the continued proportion 1:2:4. find the sides.
Answer by drj(1380) (Show Source): You can put this solution on YOUR website!
the sum of the sides of a triangle is 100 inches. the angles are in the continued proportion 1:2:4. find the sides.

Step 1. Let P = Perimeter = 100 inches. A triangular perimeter means adding the three sides.

Step 2. Let x = shortest side

Step 3. Let 2x = middle side

Step 4. Let 4x = longest side

Step 5. Use Steps 1-4 to get

Step 6. Solve for x. Divide by 7 to both side of equation to get x

Step 7. Check Perimeter P with above values
Answer ok.

Step 7. Answer is that the sides of the triangle are 100/7, 200/7 and 400/7.

I hope the steps were helpful and clear. Good luck in your studies.

Respectfully,
Dr J

For Step-By-Step videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra.

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