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Maria looked at the architectural plan of a room with four walls in which the walls meet each other at right angles. the length of one wall in the plan is 13 inches. the length of the diagonal of the floor of the room in the plan is approximately 15.26 inches. is the room in the shape of a square? explain how you determined your answer. show all your work.

i know the room is not a square im just not sure why

Respuesta :

The room is not in the shape of a square.

How is a square's diagonal determined?

A line segment that connects any two non-adjacent vertices forms a square's diagonal. Two equal-length diagonals that are at right angles to one another make up a square.

One wall's length(a) is 13 inches.

Diagonal length (d) = 15.26 inches

When it comes to square,

Length of diagonal=[tex]\sqrt{2}[/tex] times the length of the side of the square.

[tex]d=\sqrt{2}*a[/tex]

Substituting the values,

Length of diagonal=[tex]\sqrt{2}*13[/tex]

                             =[tex]18.38[/tex] inches

The calculated length of the diagonal differs from the length that was provided in the question.

As a result, the room is not square-shaped.

Learn more about squares here:

https://brainly.com/question/25092270

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