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Prove that the points(3,0),(6,4)and(-1,3) are vertices …

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Prove that the points(3,0),(6,4)and(-1,3) are vertices of right angled isosceles triangle.........

    • Posted by Sanket Singh 6 years ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Sia ? 6 years ago

    Given A(3, 0), B(6, 4) and C(-1, 3)

    AB2 = (3 - 6)2 + (0 - 4)2 = 9 + 16 = 25
    BC2 = (6 + 1)2 + (4 - 3)2 = 49 + 1 = 50
    CA2 = (-1 - 3)2 + (3 - 0)2 = 16 + 9 = 25
    AB2 = CA2 or, AB = CA
    Triangle is isoceles
    Also, 25 + 25 = 50
    or, AB2 + CA2 = BC2
    Since, pythagoras theorem is verified, therefore triangle is right-angled triangle.

    1Thank You

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