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Show that in a right angle …

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Show that in a right angle trianle hypotenuse is the longest side

    • Posted by Arnav Singh 3 years, 11 months ago

    CBSE > Class 09 > Mathematics
    • 3 answers

    Arpit Bareth 3 years, 11 months ago

    Given :A right angledtriangle ABC, B = 90o To Prove:Hypotenuse AC in the longest side. (i) AC > AB(ii)AC > BC Proof: Now in ABC ABC = 90o But CAB + BCA +CBA = 180o Thus BCA < 90o and CAB < 90o (Side opposite to greater angle is larger) Thus AC is the longest side

    0Thank You

    Gaurav Seth 3 years, 11 months ago

    <div class="expertTitle" style="margin:0px; padding:12px 0px 12px 10px; text-align:start; -webkit-text-stroke-width:0px"><font face="Roboto, sans-serif">h</font></div>

    Given :A right angledtriangle ABC, B = 90o

    To Prove:Hypotenuse AC in the longest side.

    (i) AC > AB(ii)AC > BC

    Proof: Now in ABC

    ABC = 90o

    But CAB + BCA +CBA = 180o

    Thus BCA < 90o and CAB < 90o

    (Side opposite to greater angle is larger)

    Thus AC is the longest sid

    0Thank You

    Yogita Ingle 3 years, 11 months ago

    Given :A right angledtriangle ABC, B = 90o

    To Prove:Hypotenuse AC in the longest side.

    (i) AC > AB(ii)AC > BC

    Proof: Now in ABC

    ABC = 90o

    But CAB + BCA +CBA = 180o

    Thus BCA < 90o and CAB < 90o

    (Side opposite to greater angle is larger)

    Thus AC is the longest sid

    0Thank You

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