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.
Answer:
both sides of the equation are not equal.
Step-by-step explanation:
