EarlGorzynski
EarlGorzynski EarlGorzynski
  • 26-04-2015
  • Mathematics
Answered

The sides of a triangle are 15, 20 and 25. Find the length of the shortest altitude



Answer :

RedRicin
RedRicin RedRicin
  • 26-04-2015
15, 20, and 25 are a Pythagorean triple, (225+40=625) thus they form a right triangle. The shortest altitude of any right triangle is going to be that of the hypotenuse. All three of the right triangles formed by the altitude on hypotenuse are similar. Thus 15:25 = a:10. a=6.
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