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Grade 12Analytical Geometry

the points (0,8/3), (1,3) and (82,30) are vertices of which type of triangle ( acute ,obtuse,right, isoseles etc)

Profile image of mayank sharma
16 Years agoGrade 12
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1 Answer

Profile image of Pratham  Ashish
16 Years ago

the simplest way to determine the nature of the triangle is to compute the sides of it

 square of one side ,a^2 = { (0-1)^2 + (8/3 -3)^2  } = 10/9 =1.11

   b^2 = { (82-1)^2 + (30 -3)^2  } = 7290

 c^2 =  { (82-0)^2 + (30 -8/3)^2  } =7471.11

 it shows that , c^2 > a^2 + b^2

so the tiangle would be acute