Triangle A has an area of #9 # and two sides of lengths #8 # and #4 #. Triangle B is similar to triangle A and has a side with a length of #8 #. What are the maximum and minimum possible areas of triangle B?

Answer 1

Maximum area 36 and Minimum area 9

#Delta s A and B # are similar.
To get the maximum area of #Delta B#, side 8 of #Delta B# should correspond to side 4 of #Delta A#.
Sides are in the ratio 8 : 4 Hence the areas will be in the ratio of #8^2 : 4^2 = 64 : 16#
Maximum Area of triangle #B =( 9 * 64) / 16= 36#
Similarly to get the minimum area, side 8 of #Delta A # will correspond to side 8 of #Delta B#. Sides are in the ratio # 6 : 8# and areas #64 : 64#
Minimum area of #Delta B = (9*64)/64= 9#
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Answer 2

The maximum possible area of triangle B is 36 36 square units, and the minimum possible area is 4.5 4.5 square 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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