# Triangle A has an area of #12 # and two sides of lengths #7 # and #7 #. Triangle B is similar to triangle A and has a side with a length of #19 #. What are the maximum and minimum possible areas of triangle B?

Area of triangle B = 88.4082

Since triangle A is isosceles, triangle B will also be isosceles.

Sides of Triangles B & A are in the ratio of 19 : 7

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The maximum possible area of triangle B is ( 12 \times \left( \frac{19}{7} \right)^2 ) and the minimum possible area of triangle B is ( 12 \times \left( \frac{19}{7} \right)^2 \times \left( \frac{7}{19} \right)^2 ).

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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.

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.

- A triangle has corners at points A, B, and C. Side AB has a length of #15 #. The distance between the intersection of point A's angle bisector with side BC and point B is #8 #. If side AC has a length of #19 #, what is the length of side BC?
- Triangle A has an area of #6 # and two sides of lengths #5 # and #7 #. Triangle B is similar to triangle A and has a side with a length of #19 #. What are the maximum and minimum possible areas of triangle B?
- A triangle has corners at points A, B, and C. Side AB has a length of #12 #. The distance between the intersection of point A's angle bisector with side BC and point B is #8 #. If side AC has a length of #21 #, what is the length of side BC?
- A triangle has corners at points A, B, and C. Side AB has a length of #48 #. The distance between the intersection of point A's angle bisector with side BC and point B is #24 #. If side AC has a length of #24 #, what is the length of side BC?
- At the same time of day, a man who is 57.6 inches tall casts a 49.2-inch shadow and his son casts a 41-inch shadow. How do you use similar triangles to determine the height of the man's son?

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