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olasank [31]
3 years ago
6

State if the pair of triangles are similar. If so, state how you know they are similar and

Mathematics
1 answer:
RideAnS [48]3 years ago
5 0
They can’t be similar. Similar triangles have congruent corresponding angles, and two angles are given on each. Neither of those correspond to another on the opposite triangle. Basically, there’s no way to have three congruent angles, so they aren’t similar.
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What is the greatest perimeter of a rectangle with an area of 39 square feet
harina [27]
There is no greatest perimeter of a rectangle with an area of 39 square feet.

To see why, consider the length of 3 and width of 13. Area would be 39 and perimeter would be 3 + 3 + 13 + 13 = 32

Now consider length of 3/2 = 1.5 and 13·2 = 26. Then area is same but perimeter is 1.5 + 1.5 + 26 + 26 = 55.

Now we can just repeatedly half the length and double the width.

L = 3.0, W = 13
⇒ A = 39, P = 32.0 

L = 1.5, W = 26   
⇒ A = 39, P = 55.0 

L = 0.75, W = 52   
⇒ A = 39, P = 105.5 

L = 0.375, W = 104  
⇒ A = 39, P = 208.75 

L = 0.1875, W = 208  
⇒ A = 39, P = 416.375 

L = 0.09375, W = 416  
⇒ A = 39, P = 832.1875 

L = 0.046875, W = 832  
⇒ A = 39, P = 1664.09375 

L = 0.0234375, W = 1664 
⇒ A = 39, P = 3328.046875 

L = 0.01171875, W = 3328 
⇒ A = 39, P = 6656.0234375 

L = 0.005859375, W = 6656 
⇒ A = 39, P = 13312.01171875

 Notice how P just kept growing. That's because width grow much faster than length <span>shrinking, </span>so P would grow endlessly.

Hope this helps.
6 0
3 years ago
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