show that the points (2,0),(-2,0) and (0,2) are the vertices of a triangle.Also state with reason the type of the triangle.
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Answer:
it is a isosceles triangle
as BC=CA
Step-by-step explanation:
let point (2,0) be A
point (-2,0) be B
and point (0,2) be C
Therefore
Using distance formula
AB=√(2+2)^2 + (0-0)^2
AB=√(4)^2
AB=4units
BC=√(-2-0)^2 + (0-2)^2
BC=√4+4
BC=√8
BC=2√2units
CA=√(2-0) ^2+(0-2)^2
CA=√4+4
CA=√8
CA=2√2units
As CA=BC
Therefore
it is a isosceles triangle
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