Question 217386
Checking,  we  find  that  15^2 +20^2 =25^2,,,,therefore  this  is  a  rt  triangle,  with  legs 15, and  20,  and  hypotenuse 25
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On  a  right  triangle,  the  legs  are  also  altitudes, so 15,  and  20  are  altitudes.
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We  need  to  check  the  altitude  from  the  hypotenuse  to  the  opposite  vertex,  however.
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Perhaps  the  easiest  way  is  to  establish  the  Area  of  the  triangle,  and  then  calculate  that  altitude.
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Area = 1/2 *b*h,,,and  for  square  legs,,,A= 1/2*15*20 = 150
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For  the  hypotenuse  as  a  base,,A= 1/2 *b*h,,,,150 = 1/2 *25 *h,,,h=12
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As  it  turns  out,  this  last  altitude  is  the  smallest,,,,,,12
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