Question

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? Explain how you determined your answer. Show all your work. (10 points)

Answer 1

answer: not a square

the diagonal divides the room into two right angle triangles

triangle ABC with AB=17 and AC =18.79

.theorem of Pythagoras

BC²=18.79²-17²

BC²=64.0641

BC=8 in

width is 8 in

length is 18.79 in

therefore it's not a square