Question

find the measures of the side of triangle BAD given that B (-2, "-5)," A (-4,0), D(3,-1) and classify each triangle by its sides.

Answer 1

• BAD is scalene triangle

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Given

• Triangle BAD with vertices B(-2, -5), A(-4, 0), D(3, -1)

Find each side length using distance formula:

• 
  `AB=√((-2+4)^2+(-5+0)^2)=√(4+25)=√(29)`

• 
  `AD=√((3+4)^2+(-1+0)^2)=√(49+1)=√(50)`

• 
  `BD=√((3+2)^2+(-1+5)^2)=√(25+16)=√(41)`

As we see, all sides have different length, therefore it is scalene triangle.