Answer:
The lengths of the sides are 15 cm , 17 cm and 19 cm.
Step-by-step explanation:
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
3n%2B6=51
Subtract 6 from both sides of the equation
3n%2B6-6=51-6
3n=45
Divide 45 to both sides of the equation
3n%2F3=45%2F3
n=15 Then n%2B2=17 and n%2B4=19. 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.
