Triangle A has an area of #60 # and two sides of lengths #12 # and #15 #. Triangle B is similar to triangle A and has a side of length #5 #. What are the maximum and minimum possible areas of triangle B?
Maximum area 10.4167 and Minimum area 6.6667
By signing up, you agree to our Terms of Service and Privacy Policy
The maximum and minimum possible areas of Triangle B can be calculated based on the ratio of the corresponding sides of Triangle B to Triangle A.
Given that Triangle B is similar to Triangle A, the ratio of corresponding sides is constant.
Let's denote the ratio of corresponding sides of Triangle B to Triangle A as ( k ).
The ratio of corresponding sides of Triangle B to Triangle A is given by: [ k = \frac{5}{15} = \frac{1}{3} ]
Therefore, the ratio ( k ) is ( \frac{1}{3} ).
Now, to find the maximum and minimum possible areas of Triangle B:

Maximum Area: [ \text{Max Area of B} = (\text{Max Area of A}) \times k^2 ] [ \text{Max Area of B} = (60) \times \left(\frac{1}{3}\right)^2 ] [ \text{Max Area of B} = 60 \times \frac{1}{9} ] [ \text{Max Area of B} = 6.67 ]

Minimum Area: [ \text{Min Area of B} = (\text{Min Area of A}) \times k^2 ] [ \text{Min Area of B} = (60) \times \left(\frac{1}{3}\right)^2 ] [ \text{Min Area of B} = 60 \times \frac{1}{9} ] [ \text{Min Area of B} = 6.67 ]
Therefore, the maximum possible area of Triangle B is ( 6.67 ) square units and the minimum possible area is also ( 6.67 ) square units.
By signing up, you agree to our Terms of Service and Privacy Policy
When evaluating a onesided 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 onesided 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 onesided 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 onesided 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 #9 #. The distance between the intersection of point A's angle bisector with side BC and point B is #3 #. If side AC has a length of #8 #, what is the length of side BC?
 A person is standing 40ft away from a street light that is 30ft tall. How tall is he if his shadow is 10ft long?
 How do you approximate the height of the screen to the nearest tenth?
 A triangle has corners 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 #4 #. If side AC has a length of #10 #, what is the length of side BC?
 Triangle A has sides of lengths #12 ,24 #, and #16 #. Triangle B is similar to triangle A and has a side of length #8 #. What are the possible lengths of the other two sides of triangle B?
 98% accuracy study help
 Covers math, physics, chemistry, biology, and more
 Stepbystep, indepth guides
 Readily available 24/7