Mixed Number Form:
Evaluate x ^ 2 + 1/(x ^ 2) when x = 3 + sqrt(8)
1 answer:
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Answer:
Length of diagonal is 18 m
Step-by-step explanation:
Given in trapezoid ABCD. AC is a diagonal and ∠ABC≅∠ACD. The lengths of the bases BC and AD are 12m and 27m. We have to find the length of AC.
Let the length of diagonal be x m
In ΔABC and ΔACD
∠ABC=∠ACD (∵Given)
∠ACB=∠CAD (∵Alternate angles)
By AA similarity theorem, ΔABC~ΔACD
∴ their corresponding sides are proportional
Comparing first two, we get
⇒
⇒
⇒
hence, the length of diagonal is 18 m
Well I don't know where inequalities would come in but the third length would be solved as follows.
a^2+b^2=c^2
10^2+18^2=424
Answer;
I hope this is correct, its what I would do if I had this equation.
a^2+b^2=c^2
10^2+18^2=424
Answer;
I hope this is correct, its what I would do if I had this equation.