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
