Find the lengths of the missing sides if side a is opposite angle A, side b is opposite angle B, and side c is the hypotenuse. sin(B) = 1/√6, a = 7 b = c =
Added by Wendy V.
Step 1
Given sin(B) = 1/√6, we know that opposite side b is 1 and the hypotenuse is √6. Since side a is 7, we can use the Pythagorean theorem to find side b: a^2 + b^2 = c^2 7^2 + b^2 = (√6)^2 49 + b^2 = 6 b^2 = 6 - 49 b^2 = -43 b = √(-43) b = i√43 (where i is the Show more…
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