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A triangle has side 35cm,54cm, and …

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A triangle has side 35cm,54cm, and 61cm long. Find its area.also,find the smallest of its altitude
  • 1 answers

Hans Raj 5 years, 6 months ago

semi-perimeter = s =35 + 54 + 61/2=150/2= 75

Area= {tex} \sqrt{s(s - a) (s - b) (s - c)}{/tex} Heron's formula

       = {tex}\sqrt75({75 - 35)(75 - 54)(75 - 61)}{/tex}

      = {tex} \sqrt{75(40)(21)(14)}{/tex}

      = {tex} \sqrt{}{/tex} 25x3x5x8x3x7x7x2

      = {tex} \sqrt{}{/tex} 52x32x72x42x5

     = 5x3x7x4x {tex} \sqrt{}{/tex}5

    = 420 {tex} \sqrt{5}{/tex} cm2

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