Westonci.ca is the ultimate Q&A platform, offering detailed and reliable answers from a knowledgeable community. Get quick and reliable answers to your questions from a dedicated community of professionals on our platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

The length of a side of an equilateral triangle is x-4.5.First express it's perimeter as a sum. Next express its perimeter as a product. Explain why the two expressions are equvalent.

Sagot :

047
The sides of an equilateral triangle are same. So if one of the sides is (x-4.5), all the sides are (x-4.5). 
Let the sides are a=(x-4.5), b=(x-4.5), c=(x-4.5)

1. Perimeter(as sum) = a+b+c
                                    =  (x-4.5)+(x-4.5)+(x-4.5)
                                    = x+x+x-4.5-4.5-4.5
                                    = 3x - 13.5
2. Perimeter (as product) = 3×a    
                                     = 3×(x-4.5)
                                     = 3×x - 3×4.5
                                     = 3x - 13.5
(you can write 3×b or 3×c also as a=b=c.)

Both perimeter as sum and perimeter as product are same as adding a number three times is the same as multiplying it by 3.
Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.