The expression 17n + 11 represents the perimeter (in feet) of the triangle. Two sides are measured at 5n + 6 and 4n + 5.
Write an expression that represents the measure of the third side.
17n+11 - (5n+6) - (4n+5)
all we need is the answer
The expression 17n+11 represents the perimeter of the triangle.
A simplified expression that represents the measure of the third side is
To find the measure of the third side of the triangle, we need to subtract the sum of the other two sides from the total perimeter.
The perimeter of a triangle is the sum of the lengths of its three sides. So, if we let the measure of the third side be represented by x, the expression for the perimeter would be:
perimeter = (5n + 6) + (4n + 5) + x
Since we are given that the perimeter is represented by 17n + 11, we can set up an equation:
17n + 11 = (5n + 6) + (4n + 5) + x
Now, let's solve for x:
17n + 11 = 5n + 6 + 4n + 5 + x
Combining like terms, we have:
17n + 11 = 9n + 11 + x
Next, we can simplify further by subtracting 11 from both sides:
17n + 11 - 11 = 9n + 11 - 11 + x
Simplifying,
17n = 9n + x
To isolate x, we can subtract 9n from both sides:
17n - 9n = 9n + x - 9n
Simplifying,
8n = x
Therefore, the expression that represents the measure of the third side is 8n.