Maria 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 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.
Stacey Warren - Expert brainly.com
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No this is no a square. A square is perfectly equal in all lengths (width, length, height, diagonals, etc) This problem shows that the length of a wall is smaller than its diagonal, which is inconsistent with the description of a square, which means this shape is not a square.
Does this help?
if the floor is a square, then the other side will also be 13 right ?
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yup to me
you have 2 parts of a triangle for pythagorean theorem
you have 13^2+b^2=15.26^2
solve for b^2
that will give you the other part of the triangle which is the side
however if we assume the floor as a square you get diagonal = 132+132−−−−−−−−√
for a square the diagonal needs to be 18.3847763109 right ?
but you're given that the diagonal is 15.26 , so how can we say that its a square ?
it is a rectengale
the third side is just less than 8 and so that would make it roughly an 8x13 rectangle
so what is 104?
104 stays the same
Did you look at my answer?
Since we have the diagonal of the figure we can use pythagorean theorem to find out the length of the other side in the figure
the answer is roughly 13=a 8=b 15.26=c
when i solved the b =7.99 and therefore not making it a square