Show that the points A (4,7),B(8,4) and C(7,11) are the vertices of a right angle triangle?​

Question

Show that the points A (4,7),B(8,4) and C(7,11) are the vertices of a right angle triangle?​

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Luna 1 month 2021-09-17T08:57:15+00:00 1 Answer 0 views 0

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    2021-09-17T08:59:14+00:00

    Answer:

    Let the points be A, B and C respectively..

    by distance formula

    AB=√[(8-4)²+(4-7)²]

    = 5 units

    similarly,

    BC= 5√2 units

    AC= 5 units

    AC²+BC²= 25+50

    =75

    and AB²=25

    therefore A, B, C form a right angled triangle

    forming a right angle at C

    (inverse of Pythagoras theorem)

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