A parallelogram has sides with lengths of #14 # and #12 #. If the parallelogram's area is #24 #, what is the length of its longest diagonal?

Answer 1

#=26#

Area of Parallelogram #=24=ab sintheta# where #a=14# and #b=12# or #24=14times12timessintheta# or
#sin theta=24/14times1/12# or #sin theta=1/7# or #theta=sin^-1(1/7)# or #theta=8.2#
To find the longer diagonal #=y=?#
we have to get the supplementary of the angle #8.2#
So we have Angle #180-8.2=171.8#
Using the Law of Cosine we can write #y^2=14^2+12^2-2times14times12cos(171.8)# #=196+144-2times14times12(-1)# #=340+336# #=676# or #y=sqrt676#
#=26#
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Answer 2

The length of the longest diagonal of the parallelogram is 10 units.

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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.

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.

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.

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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