Triangle A has an area of #4 # and two sides of lengths #9 # and #7 #. Triangle B is similar to triangle A and has a side with a length of #32 #. What are the maximum and minimum possible areas of triangle B?
Maximum area 83.5918 and Minimum area 50.5679
By signing up, you agree to our Terms of Service and Privacy Policy
The maximum possible area of Triangle B occurs when its side length is maximized to be equal to the longest side of Triangle A, which is 9. Therefore, the maximum possible area of Triangle B is (4 \times \left(\frac{32}{9}\right)^2 = \frac{4096}{81}).
The minimum possible area of Triangle B occurs when its side length is minimized to be equal to the shortest side of Triangle A, which is 7. Therefore, the minimum possible area of Triangle B is (4 \times \left(\frac{32}{7}\right)^2 = \frac{4096}{49}).
By signing up, you agree to our Terms of Service and Privacy Policy
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.
- A triangle has corners at points A, B, and C. Side AB has a length of #24 #. The distance between the intersection of point A's angle bisector with side BC and point B is #4 #. If side AC has a length of #28 #, what is the length of side BC?
- Triangle A has sides of lengths #54 #, #44 #, and #32 #. Triangle B is similar to triangle A and has a side of length #4 #. What are the possible lengths of the other two sides of triangle B?
- Triangle A has an area of #8 # and two sides of lengths #6 # and #7 #. Triangle B is similar to triangle A and has a side with a length of #16 #. What are the maximum and minimum possible areas of triangle B?
- Triangle A has an area of #6 # and two sides of lengths #9 # and #4 #. Triangle B is similar to triangle A and has a side with a length of #14 #. What are the maximum and minimum possible areas of triangle B?
- If two triangles are congruent, are they similar? Please explain why or why not.
- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7