A parallelogram has sides with lengths of #12 # and #4 #. If the parallelogram's area is #12 #, what is the length of its longest diagonal?

Answer 1

Longest diagonal is #15.9 unit #

We know the area of the parallelogram as #A_p=s_1*s_2*sin theta or sin theta=12/(12*4)=0.25 :. theta=sin^-1(0.25)=14.48^0:.#consecutive angles are supplementary #:.theta_2=180-14.48=165.52^0#. Longest diagonal can be found by applying cosine law:#d_l= sqrt(s_1^2+s_2^2-2*s_1*s_2*costheta_2)=sqrt(12^2+4^2-2*12*4*cos165.52) =15.9 unit # [Ans]

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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