Question

The expression 17n+11 represents the perimeter of a triangle. The other two sides measure 4n+5 and 5n+6. A simplified expression that represents the measure of the third side would be...?

Answer 1

Question

The expression 17n+11 represents the perimeter of a triangle. The other two sides measure 4n+5 and 5n+6. A simplified expression that represents the measure of the third side would be...?

Answer:

(17n + 11) - (4n +5 + 5n + 6) =

Step-by-step explanation:

you simply take off the misure of the know sides from the perimeter

(17n + 11) - (4n +5 - 5n + 6) =

8n

Answer 2

Answer: 8n

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Step-by-step explanation:

The two sides 4n+5 and 5n+6 have the terms 4n and 5n which add to 9n. We need 8n to add onto this so that we end up with 17n. In other words, 4n+5n+8n = 9n+8n = 17n

So that is why the answer is 8n. We don't have anything added or subtracted to it because the "+5" and "+6" in the two given expressions (4n+5 and 5n+6) add up to 5+6 = 11 which is what we want in the perimeter expression 17n+11

Side 1 = 4n+5

Side 2 = 5n+6

Side 3 = 8n

Perimeter = (side1) + (side2) + (side3)

Perimeter = (4n+5) + (5n+6) + (8n)

Perimeter = 4n+5 + 5n+6 + 8n

Perimeter = (4n+5n+8n) + (5+6)

Perimeter = 17n+11

So that confirms we have the proper expression for the third missing side.