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If the base of a triangle is shortened by 60 percent, by what percent must the height be increased if the area is to remain the same?

 Jul 15, 2015

Best Answer 

 #1
avatar+128474 
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A = bh/2

 

So...if the base is shortened by 60%, it's only 40% of what it used to be...so.......

 

.40bx/2   = bh/2      where x is what we're looking for.....

 

.40bx =  bh

 

.40x = 1 h

 

x = 1 h/.40

 

x = 2.5h     .......so the height must be increased by 2.5 times

 

 

  

 Jul 15, 2015
 #1
avatar+128474 
+5
Best Answer

A = bh/2

 

So...if the base is shortened by 60%, it's only 40% of what it used to be...so.......

 

.40bx/2   = bh/2      where x is what we're looking for.....

 

.40bx =  bh

 

.40x = 1 h

 

x = 1 h/.40

 

x = 2.5h     .......so the height must be increased by 2.5 times

 

 

  

CPhill Jul 15, 2015

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