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.
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