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Solve the Following By Steps 'if the perimeter of a triangle is 24 cm and two sides are equal length, each side, what is the length of the third side ?'?
Most Upvoted Answer
Solve the Following By Steps 'if the perimeter of a triangle is 24 cm ...
Given Information:
Perimeter of the triangle = 24 cm
Two sides are equal in length

Let's solve step by step:
- Step 1: Identify the Perimeter Formula
The perimeter of a triangle is the sum of the lengths of all three sides.
Perimeter = a + b + c, where a, b, and c are the lengths of the three sides.
- Step 2: Given Information
Since two sides are equal in length, let's assume the two equal sides are of length x each.
Therefore, the third side will be represented as c.
- Step 3: Apply the Given Information
Given that the perimeter of the triangle is 24 cm, we can write the equation as:
x + x + c = 24
- Step 4: Simplify the Equation
2x + c = 24
c = 24 - 2x
- Step 5: Substitute the Values
Since two sides are equal, we can substitute x for both sides:
2x + 24 - 2x = 24
Simplify further:
24 = 24
- Step 6: Conclusion
The equation 2x + c = 24 holds true for any value of x. Therefore, the length of the third side (c) can be any value as long as the sum of all three sides is 24 cm.
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