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Homework Help: Geometry

Posted by Cassie on Tuesday, April 10, 2012 at 6:41pm.

Right triangle ABC has an area of 32^3 cm^2. The measure of <A=30, and the measure of <B=90. What is the length of BC, AB, and AC? Express all answers in simplest radical form.

• Geometry - Reiny, Tuesday, April 10, 2012 at 6:48pm

  the ratio of sides for the 30-60-90 triangle are
  1 : √3 : 2
  
  so let AB = √3 x
  BC = x
  AC = 2x
  
  area = (1/2)(√3 x)(x) = 32^3 = 32768
  x^2 = 65536/√3
  x = 256/√(√3)
  
  I will let you do the substitutions
  

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