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

Answer:

• 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:

• $AB=\sqrt{(-2+4)^2+(-5+0)^2}=\sqrt{4+25}=\sqrt{29}$

• $AD=\sqrt{(3+4)^2+(-1+0)^2}=\sqrt{49+1}=\sqrt{50}$

• $BD=\sqrt{(3+2)^2+(-1+5)^2}=\sqrt{25+16}=\sqrt{41}$

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