A triangle has a 5-inch side and a 12-inch side. To maximize the area of the triangle what should the third side be? Can you generalize this result? Four items are for sale in the Dollar Value store....

A triangle has a 5-inch side and a 12-inch side. To maximize the area of the triangle what should the third side be? Can you generalize this result?

Four items are for sale in the Dollar Value store. The product and sum of their prices is $7.11. What is the price of each item?