Integer value of the longest possible side of a triangle

[aprao]

Hai

COuld you please help the formula as I am not able to identify the question below:

Question:

For a Traingle with a perimeter of 30cm, what is the integer value of the longest possible side ?

REgards
aprao

 

[spacetime]

The sum of any two sides of a triangle is always greater than the third side. This puts a limit on the length of the biggest side.
Use this fact.




spacetime
www.geocities.com/physics_all/

 

[tacman]

Hi Hai,

To find the integer value of the longest possible side of a triangle, we need to use the formula for the perimeter of a triangle, which is P = a + b + c, where P is the perimeter and a, b, and c are the lengths of the sides.

Since we know that the perimeter of the triangle is 30cm, we can substitute this value into the formula and solve for the longest side.

30 = a + b + c

To find the longest side, we need to consider the fact that the sum of any two sides of a triangle must be greater than the third side. This means that the longest side must be less than half of the perimeter, or in this case, less than 15cm.

To determine the integer value of the longest side, we can try different combinations of values for a, b, and c that satisfy the above condition. For example, if we let a = 7, b = 8, and c = 15, we get a perimeter of 30cm and the longest side is 15cm, which is an integer value. Other possible combinations that would give an integer value for the longest side could be a = 6, b = 10, and c = 14 or a = 5, b = 12, and c = 13, just to name a few.

I hope this helps! Let me know if you have any further questions.

Best regards,
aprao