To find the value of side b in a scalene triangle where we know the perimeter and the lengths of the other two sides, we can use the information given in the problem.
The perimeter of a triangle is the sum of the lengths of all its sides. In this case, the equation can be set up as follows:
Let the lengths of the sides be:
- a = 87 cm
- b = ?
- c = 261 cm
The equation based on the perimeter can be expressed as:
a + b + c = Perimeter
Plugging in the numbers we have:
87 + b + 261 = 546
From this equation, we can isolate b:
b = 546 – 87 – 261
We can simplify that to find the value of side b.