pinkbrittany100 pinkbrittany100
  • 19-12-2018
  • Geography
contestada

What radius of a circle is required to inscribe an equilateral triangle with an area of 15.588 in2 and an altitude of 5.196 in?

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deveronyarbrough deveronyarbrough
  • 19-12-2018

Area of triangle = 1/2 base x height


15.588 = 1/2 * base x 5.196


15.588 = base x 2.598


base = 15.588 / 2.598 = 6


 equi center of triangle = 1/3*5.196 = 1.732


radius of circle = Sqrt(1.732^2 + 3^2) =


 sqrt (2.999824 +9) =


sqrt(11.999824) = 3.464


rounded to nearest tenth = 3.5 inches


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