An expression that represents the perimeter, in centimetres, of the triangle is 10x+7y+6 centimetres.
Given that, a triangle has side lengths of (8x+10) centimetres, (2x+5) centimetres and (7y-9) centimetres.
The perimeter of a triangle is defined as the total length of its boundary. It is the sum of all three sides of the triangle.
Now, the perimeter of a triangle=(8x+10)+(2x+5)+(7y-9)
=(8x+2x)+7y+10+5-9
=10x+7y+6 centimetres
Therefore, an expression that represents the perimeter, in centimetres, of the triangle is 10x+7y+6 centimetres.
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