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प्रश्न
Prove that the points (6 , -1) , (5 , 8) and (1 , 3) are the vertices of an isosceles triangle.
उत्तर
AB = `sqrt ((6 - 5)^2 + (-1-8)^2) = sqrt (1 + 81) = sqrt 82` units
BC = `sqrt ((5-1)^2 + (8 - 3)^2) = sqrt (16+25) = sqrt 41` units
AC = `sqrt ((1-6)^2 + (3 - 1)^2) = sqrt (25 + 16) = sqrt 41` units
∵ BC = AC
∴ A , B and C are the vertices of an isosceles triangle.
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