anonymous
  • anonymous
show that the triangle with vertices A(6,-7), B(11,-3), and C(2,-2) is a right triangle by using the converse of the Pythagorean Theorem. Find the area of the triangle
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
I can find the area of the triangle but idk how to do the converse part
anonymous
  • anonymous
ok but how do I find the converse of the Pythagorean theorem?
wolf1728
  • wolf1728
I updated the graphic with the lengths of each side
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wolf1728
  • wolf1728
Hypotenuse² = 41 + 41 Hypotenuse² = 82 Hypotenuse = 9.0553851381 So, Pythagorean Theorem works out exactly. I'd also say that since AC = AB, it is a 45 45 90 triangle
anonymous
  • anonymous
thanks
wolf1728
  • wolf1728
I might as well calculate the area too Using Heron's formula for area when all 3 sides are known I get area = 20.499999999789665 okay I guess that rounds to 20.5
wolf1728
  • wolf1728
Does that agree with your calculation for area?
anonymous
  • anonymous
i just left it as 20.48 but yeah
wolf1728
  • wolf1728
Heck, after all that work I'd say 20.48 is close to 20.5 all right !!!

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