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Sagot :

Answer:

Side DE = 5.33 m

Step-by-step explanation:

Using Pythagorean theorem, we know [tex]a^2+b^2=c^2[/tex]. In this problem, we know that a = 6.1 and c = 8.1, however we do not know b. In order to solve for b we can write this out as:

[tex](6.1)^2 + b^2 = (8.1)^2[/tex]

After squaring both terms we get:

[tex]37.21 + b^2 = 65.61[/tex]

Next we have to isolate [tex]b^2[/tex], and we can do this by subtracting both sides by 37.21 which will get us:

[tex]b^2 = 28.4[/tex]

Then we can take the square root of both sides to get 5.329 which can be rounded up to 5.33

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