What equation can be used to find the value of side b in a scalene triangle with a perimeter of 546 cm, where side a measures 87 cm and side c measures 261 cm?

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To find the value of side b in a scalene triangle with a given perimeter, we can use the definition of perimeter. The perimeter of a triangle is the sum of the lengths of all its sides. In this case, we know the perimeter is 546 cm, and we have the lengths of sides a and c.

The formula for the perimeter P of a triangle can be expressed as:

P = a + b + c

Substituting the known values into this formula gives us:

546 = 87 + b + 261

To solve for b, we should first combine the known sides:

546 = 348 + b

Next, we isolate b by subtracting 348 from both sides:

b = 546 - 348

Calculating that gives:

b = 198

So, the equation you would use to find the value of b is:

546 = 87 + b + 261

And the final result shows that side b measures 198 cm.

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