Triangle A has an area of #18 # and two sides of lengths #9 # and #14 #. Triangle B is similar to triangle A and has a side of length #8 #. What are the maximum and minimum possible areas of triangle B?

Answer 1

Maximum area 14.2222 and Minimum area 5.8776

#Delta s A and B # are similar.
To get the maximum area of #Delta B#, side 8 of #Delta B# should correspond to side 9 of #Delta A#.
Sides are in the ratio 8 : 9 Hence the areas will be in the ratio of #8^2 : 9^2 = 64 : 81#
Maximum Area of triangle #B =( 18 * 64) / 81= 14.2222#
Similarly to get the minimum area, side 14 of #Delta A # will correspond to side 8 of #Delta B#. Sides are in the ratio # 8 : 14# and areas #64 : 196#
Minimum area of #Delta B = (18*64)/196= 5.8776#
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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.

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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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