The triangle with vertices (-2, 1) (-2, 2) (5,2) is a) Scalene b) equilateral C) isoceles d) right angled isoceles
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Explanation:
A(-2,1) B(-2,2) C(5,2)
d(AB) = √(-2+2)^2 + (2-1)^2
= √0 + 1
= 1
d(BC) = √(5+2)^2 + (2-2)^2
= √(7)^2 + 0
= √49
= 7
d(AC) = √(5+2)^2 + (2-1)^2
= √49 + 1
= 5√2
Since all the distances are unequal
therefore it is a scalene triangle
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