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.

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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) About Me  (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

P+=+x%2B2x%2B4x

P+=+100=+7x

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

100%2F7+=+7x%2F7

100%2F7+=+x

2x+=+200%2F7

4x+=+400%2F7+

Step 7. Check Perimeter P with above values
P=100%2F7%2B200%2F7%2B400%2F7=700%2F7=100 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

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