Largest side of a triangle is 40 units, one of its sides is 24 units and the area is 384 square units then find the other side of the triangle.

• Let s be the perimeter of the triangle,
  so s = (40 + 24 + c)
  we know are of a triangle is,
  a = sqrt[ s/2*(s/2-a)*(s/2-b)*(s/2-c) ]
  where a,b,c are three sides.
  here s/2 = (64 + c)/2
  area is 384 sq.units
  so according to the above formula,
  the value of c is 32 units.
• 9 years agoHelpfull: Yes(3) No(0)
• As it has been clearly said "largest side" so
  lets say altitude = 24 and base = x
  Area of triangle = 1/2 * altitude * base
  384 = 1/2 * 24 * x
  x = 32 unit
• 9 years agoHelpfull: Yes(2) No(0)
• 32 UNIT ANS
  
• 9 years agoHelpfull: Yes(1) No(1)
• this can be done in many ways. . one method is this:
  lets use Pythagoras theorem :
  we know larger side is 40. or let us take it so. .
  40=Sqrt(24^2 + X^2)
  solve for x
  answer will be 32.
  :)
• 9 years agoHelpfull: Yes(1) No(0)
• plzz explian..
  
• 9 years agoHelpfull: Yes(0) No(1)
• The best way to solve this is verification method
  the formulas used for this is s=(a+b+c)
  Area=sqrt(s(s-a)(s-b)(s-c);
  substitute third value
  
• 9 years agoHelpfull: Yes(0) No(1)
• can u please elaborate?
  
• 9 years agoHelpfull: Yes(0) No(1)
• any shortcut?
  
• 9 years agoHelpfull: Yes(0) No(0)