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hjlf
3 years ago
11

The perimeter of a triangle is 51 cm the longest side is twice the length of the Shorty start the third side is 3 cm longer than

the shorter side where is the length of each side
Mathematics
1 answer:
Makovka662 [10]3 years ago
3 0

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.

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