Gina looks at the architectural plan of a four-walled room in which the walls meet each other at right angles. The length of one wall in the plan is 17 inches. The length of the diagonal of the floor of the room in the plan is approximately 18.79 inches.Is the room in the shape of a square?

Given:Gina looks at the architectural plan of a four-walled room in which the walls meet each other at right angles. The length of one wall in the plan is 17 inches. [tex]a=17[/tex]The length of the diagonal of the floor of the room in the plan is approximately 18.79 inches. [tex]Diagonal=18.79[/tex]We need to determine that whether the room is in the shape of a square.Determining the shape:Suppose the room is in the shape of a square, let us use the Pythagorean theorem to prove this.Then, we have;[tex]Diagonal^2=a^2+a^2[/tex]Substituting the values, we get;[tex](18.79)^2=17^2+17^2[/tex]  [tex]353.06=289+289[/tex]  [tex]353.06\neq 579[/tex]Thus, both sides of the equation are not equal.This proves that the shape of the room is not a square.