SOLUTION: The perimeter of a triangle is 51 cm. The lengths of its sides are consecutive odd integers. Find the lengths of all 3 sides.

Question 222828: The perimeter of a triangle is 51 cm. The lengths of its sides are consecutive odd integers. Find the lengths of all 3 sides.
Answer by drj(1380) (Show Source): You can put this solution on YOUR website!
The perimeter of a triangle is 51 cm. The lengths of its sides are consecutive odd integers. Find the lengths of all 3 sides.

Step 1. Perimeter P means adding up all three sides.

Step 2. Let n be an odd integer.

Step 3. Let n+2 and n+4 be the next two consecutive odd integers.

Step 4. Then P=n+n+2+n+4=51.

Step 5. Solving the equation Step 4 yields the following steps

Subtract 6 from both sides of the equation

Divide 45 to both sides of the equation

Then and . Also, P=15+17+19=51 which is a true statement.

Step 6. ANSWER: The lengths of the sides are 15 cm , 17 cm and 19 cm.

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
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