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If A(4,3),B(-1,y)and C(3,-4)are the vertices of …

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If A(4,3),B(-1,y)and C(3,-4)are the vertices of right triangle ABC right angled at A then find value of y

    • Posted by Anushka Trivedi 6 years, 6 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Sia ? 6 years, 6 months ago


    If A(4, 3), B (-1, y), and C(3,4) are the vertices of a right triangle ABC, right angled at A, then, we have to find the value of y.
    By Pythagoras theorm,
    AB2 + AC2 = BC2
    or,(4 + 1)2 + (3 - y)2 + (3 - 4 )2 + (4 - 3)2 = (3 + 1)2 + (4- y)2 
    or, (5)2 + (3 - y)2 + (-1)2 + (1)2 = (4)2 + (4 - y)2
    or, 25 + 9 - 6y + y2 + 1 + 1 = 16 + 16 - 8y +y2
    or, 36 + 2y - 32 = 0
    or, y = - 2

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