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7 votes
I will put a bigger picture for you to see

I will put a bigger picture for you to see-example-1
User Takecare
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1 Answer

15 votes
15 votes

Notice that we can draw the figures of the table and the rectangular room like this:

Now, if we suppose that the measure of the anglesis 45 and 90 degrees, we have the following right triangle:

then, using the trigonometric function cosine, we have that the sides of the table have the following measures:


\cos (45)=\frac{\text{adjacent side}}{hypotenuse}=\frac{1}{\sqrt[]{2}}

then, the table would be the following:

then, any table that is proportional to the sides of this table, will have the same angles. Thus, the correct option is yes, one table could have side lengths double another, with the same angle measures

I will put a bigger picture for you to see-example-1
I will put a bigger picture for you to see-example-2
I will put a bigger picture for you to see-example-3
User Enchilada
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2.8k points